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Finding the Fourth Proportional to 1,364.84, 1,871.19 and 1,340.24

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Solution

The fourth proportional to 1,364.84, 1,871.19 and 1,340.24 is: 1,837.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.84 : 1,871.19 = 1,340.24 : x
  2. Step 2: Convert to fraction form
    1,364.84/1,871.19 = 1,340.24/x
  3. Step 3: Cross multiply
    1,364.84x = 1,871.19 × 1,340.24
  4. Step 4: Simplify right side
    1,364.84x = 2,507,834.33
  5. Step 5: Solve for x
    x = 2,507,834.33/1,364.84
  6. Step 6: Final answer
    x = 1,837.46

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Half scale
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Double scale
Find fourth proportional to 1,365.84, 1,872.56 and 1,341.24
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.