Home / 1,487.27-2,052.44-824.13

Finding the Fourth Proportional to 1,487.27, 2,052.44 and 824.13

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Solution

The fourth proportional to 1,487.27, 2,052.44 and 824.13 is: 1,137.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.27 : 2,052.44 = 824.13 : x
  2. Step 2: Convert to fraction form
    1,487.27/2,052.44 = 824.13/x
  3. Step 3: Cross multiply
    1,487.27x = 2,052.44 × 824.13
  4. Step 4: Simplify right side
    1,487.27x = 1,691,467.12
  5. Step 5: Solve for x
    x = 1,691,467.12/1,487.27
  6. Step 6: Final answer
    x = 1,137.30

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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.