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Finding the Fourth Proportional to 9,765.71, 14,668.40 and 8,621.65

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Solution

The fourth proportional to 9,765.71, 14,668.40 and 8,621.65 is: 12,949.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.71 : 14,668.40 = 8,621.65 : x
  2. Step 2: Convert to fraction form
    9,765.71/14,668.40 = 8,621.65/x
  3. Step 3: Cross multiply
    9,765.71x = 14,668.40 × 8,621.65
  4. Step 4: Simplify right side
    9,765.71x = 126,465,810.86
  5. Step 5: Solve for x
    x = 126,465,810.86/9,765.71
  6. Step 6: Final answer
    x = 12,949.99

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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.