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Finding the Fourth Proportional to 7,842.32, 10,817.76 and 5,354

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Solution

The fourth proportional to 7,842.32, 10,817.76 and 5,354 is: 7,385.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.32 : 10,817.76 = 5,354 : x
  2. Step 2: Convert to fraction form
    7,842.32/10,817.76 = 5,354/x
  3. Step 3: Cross multiply
    7,842.32x = 10,817.76 × 5,354
  4. Step 4: Simplify right side
    7,842.32x = 57,918,287.04
  5. Step 5: Solve for x
    x = 57,918,287.04/7,842.32
  6. Step 6: Final answer
    x = 7,385.35

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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.