Home / 1,538.17-2,307.27-383.92

Finding the Fourth Proportional to 1,538.17, 2,307.27 and 383.92

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Solution

The fourth proportional to 1,538.17, 2,307.27 and 383.92 is: 575.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.17 : 2,307.27 = 383.92 : x
  2. Step 2: Convert to fraction form
    1,538.17/2,307.27 = 383.92/x
  3. Step 3: Cross multiply
    1,538.17x = 2,307.27 × 383.92
  4. Step 4: Simplify right side
    1,538.17x = 885,807.10
  5. Step 5: Solve for x
    x = 885,807.10/1,538.17
  6. Step 6: Final answer
    x = 575.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.