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Finding the Fourth Proportional to 1,322.71, 1,821.19 and 1,123.13

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Solution

The fourth proportional to 1,322.71, 1,821.19 and 1,123.13 is: 1,546.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.71 : 1,821.19 = 1,123.13 : x
  2. Step 2: Convert to fraction form
    1,322.71/1,821.19 = 1,123.13/x
  3. Step 3: Cross multiply
    1,322.71x = 1,821.19 × 1,123.13
  4. Step 4: Simplify right side
    1,322.71x = 2,045,425.76
  5. Step 5: Solve for x
    x = 2,045,425.76/1,322.71
  6. Step 6: Final answer
    x = 1,546.39

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Half scale
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Double scale
Find fourth proportional to 1,323.71, 1,822.56 and 1,124.13
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.