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Finding the Fourth Proportional to 9,842.12, 14,761.02 and 2,915

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Solution

The fourth proportional to 9,842.12, 14,761.02 and 2,915 is: 4,371.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.12 : 14,761.02 = 2,915 : x
  2. Step 2: Convert to fraction form
    9,842.12/14,761.02 = 2,915/x
  3. Step 3: Cross multiply
    9,842.12x = 14,761.02 × 2,915
  4. Step 4: Simplify right side
    9,842.12x = 43,028,373.30
  5. Step 5: Solve for x
    x = 43,028,373.30/9,842.12
  6. Step 6: Final answer
    x = 4,371.86

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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.