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Finding the Fourth Proportional to 9,666, 14,489.28 and 4,987.98

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Solution

The fourth proportional to 9,666, 14,489.28 and 4,987.98 is: 7,476.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666 : 14,489.28 = 4,987.98 : x
  2. Step 2: Convert to fraction form
    9,666/14,489.28 = 4,987.98/x
  3. Step 3: Cross multiply
    9,666x = 14,489.28 × 4,987.98
  4. Step 4: Simplify right side
    9,666x = 72,272,238.85
  5. Step 5: Solve for x
    x = 72,272,238.85/9,666
  6. Step 6: Final answer
    x = 7,476.95

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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.