Home / 1,487.26-2,052.47-824.17

Finding the Fourth Proportional to 1,487.26, 2,052.47 and 824.17

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Solution

The fourth proportional to 1,487.26, 2,052.47 and 824.17 is: 1,137.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.26 : 2,052.47 = 824.17 : x
  2. Step 2: Convert to fraction form
    1,487.26/2,052.47 = 824.17/x
  3. Step 3: Cross multiply
    1,487.26x = 2,052.47 × 824.17
  4. Step 4: Simplify right side
    1,487.26x = 1,691,584.20
  5. Step 5: Solve for x
    x = 1,691,584.20/1,487.26
  6. Step 6: Final answer
    x = 1,137.38

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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.