Home / 10,642.91-15,968-4,070.97

Finding the Fourth Proportional to 10,642.91, 15,968 and 4,070.97

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Solution

The fourth proportional to 10,642.91, 15,968 and 4,070.97 is: 6,107.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642.91 : 15,968 = 4,070.97 : x
  2. Step 2: Convert to fraction form
    10,642.91/15,968 = 4,070.97/x
  3. Step 3: Cross multiply
    10,642.91x = 15,968 × 4,070.97
  4. Step 4: Simplify right side
    10,642.91x = 65,005,248.96
  5. Step 5: Solve for x
    x = 65,005,248.96/10,642.91
  6. Step 6: Final answer
    x = 6,107.85

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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.