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Finding the Fourth Proportional to 9,780.87, 14,659.65 and 5,623.77

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Solution

The fourth proportional to 9,780.87, 14,659.65 and 5,623.77 is: 8,428.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.87 : 14,659.65 = 5,623.77 : x
  2. Step 2: Convert to fraction form
    9,780.87/14,659.65 = 5,623.77/x
  3. Step 3: Cross multiply
    9,780.87x = 14,659.65 × 5,623.77
  4. Step 4: Simplify right side
    9,780.87x = 82,442,499.88
  5. Step 5: Solve for x
    x = 82,442,499.88/9,780.87
  6. Step 6: Final answer
    x = 8,428.95

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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.