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Finding the Fourth Proportional to 6,560.28, 9,842.88 and 3,929.63

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Solution

The fourth proportional to 6,560.28, 9,842.88 and 3,929.63 is: 5,895.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,560.28 : 9,842.88 = 3,929.63 : x
  2. Step 2: Convert to fraction form
    6,560.28/9,842.88 = 3,929.63/x
  3. Step 3: Cross multiply
    6,560.28x = 9,842.88 × 3,929.63
  4. Step 4: Simplify right side
    6,560.28x = 38,678,827.32
  5. Step 5: Solve for x
    x = 38,678,827.32/6,560.28
  6. Step 6: Final answer
    x = 5,895.91

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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.