Home / 1,322.76-1,823.67-1,138.23

Finding the Fourth Proportional to 1,322.76, 1,823.67 and 1,138.23

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Solution

The fourth proportional to 1,322.76, 1,823.67 and 1,138.23 is: 1,569.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.76 : 1,823.67 = 1,138.23 : x
  2. Step 2: Convert to fraction form
    1,322.76/1,823.67 = 1,138.23/x
  3. Step 3: Cross multiply
    1,322.76x = 1,823.67 × 1,138.23
  4. Step 4: Simplify right side
    1,322.76x = 2,075,755.90
  5. Step 5: Solve for x
    x = 2,075,755.90/1,322.76
  6. Step 6: Final answer
    x = 1,569.26

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Half scale
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Double scale
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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.