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Finding the Fourth Proportional to 7,769.64, 11,654.64 and 7,167.90

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Solution

The fourth proportional to 7,769.64, 11,654.64 and 7,167.90 is: 10,752.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.64 : 11,654.64 = 7,167.90 : x
  2. Step 2: Convert to fraction form
    7,769.64/11,654.64 = 7,167.90/x
  3. Step 3: Cross multiply
    7,769.64x = 11,654.64 × 7,167.90
  4. Step 4: Simplify right side
    7,769.64x = 83,539,294.06
  5. Step 5: Solve for x
    x = 83,539,294.06/7,769.64
  6. Step 6: Final answer
    x = 10,752.02

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1.5x scale

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.