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Finding the Fourth Proportional to 9,716.64, 14,558 and 7,780.80

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Solution

The fourth proportional to 9,716.64, 14,558 and 7,780.80 is: 11,657.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.64 : 14,558 = 7,780.80 : x
  2. Step 2: Convert to fraction form
    9,716.64/14,558 = 7,780.80/x
  3. Step 3: Cross multiply
    9,716.64x = 14,558 × 7,780.80
  4. Step 4: Simplify right side
    9,716.64x = 113,272,886.40
  5. Step 5: Solve for x
    x = 113,272,886.40/9,716.64
  6. Step 6: Final answer
    x = 11,657.62

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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.