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Finding the Fourth Proportional to 9,913.30, 14,865.11 and 4,909.88

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Solution

The fourth proportional to 9,913.30, 14,865.11 and 4,909.88 is: 7,362.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.30 : 14,865.11 = 4,909.88 : x
  2. Step 2: Convert to fraction form
    9,913.30/14,865.11 = 4,909.88/x
  3. Step 3: Cross multiply
    9,913.30x = 14,865.11 × 4,909.88
  4. Step 4: Simplify right side
    9,913.30x = 72,985,881.74
  5. Step 5: Solve for x
    x = 72,985,881.74/9,913.30
  6. Step 6: Final answer
    x = 7,362.42

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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.