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Finding the Fourth Proportional to 9,913.88, 14,864.88 and 3,156.55

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Solution

The fourth proportional to 9,913.88, 14,864.88 and 3,156.55 is: 4,732.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.88 : 14,864.88 = 3,156.55 : x
  2. Step 2: Convert to fraction form
    9,913.88/14,864.88 = 3,156.55/x
  3. Step 3: Cross multiply
    9,913.88x = 14,864.88 × 3,156.55
  4. Step 4: Simplify right side
    9,913.88x = 46,921,711.64
  5. Step 5: Solve for x
    x = 46,921,711.64/9,913.88
  6. Step 6: Final answer
    x = 4,732.93

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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.