Home / 1,537.43-2,308.30-787.47

Finding the Fourth Proportional to 1,537.43, 2,308.30 and 787.47

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Solution

The fourth proportional to 1,537.43, 2,308.30 and 787.47 is: 1,182.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.43 : 2,308.30 = 787.47 : x
  2. Step 2: Convert to fraction form
    1,537.43/2,308.30 = 787.47/x
  3. Step 3: Cross multiply
    1,537.43x = 2,308.30 × 787.47
  4. Step 4: Simplify right side
    1,537.43x = 1,817,727.76
  5. Step 5: Solve for x
    x = 1,817,727.76/1,537.43
  6. Step 6: Final answer
    x = 1,182.32

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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.