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Finding the Fourth Proportional to 9,142.86, 13,716 and 2,902.62

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Solution

The fourth proportional to 9,142.86, 13,716 and 2,902.62 is: 4,354.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.86 : 13,716 = 2,902.62 : x
  2. Step 2: Convert to fraction form
    9,142.86/13,716 = 2,902.62/x
  3. Step 3: Cross multiply
    9,142.86x = 13,716 × 2,902.62
  4. Step 4: Simplify right side
    9,142.86x = 39,812,335.92
  5. Step 5: Solve for x
    x = 39,812,335.92/9,142.86
  6. Step 6: Final answer
    x = 4,354.47

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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.