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Finding the Fourth Proportional to 7,758.64, 11,637.96 and 6,385.08

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Solution

The fourth proportional to 7,758.64, 11,637.96 and 6,385.08 is: 9,577.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.64 : 11,637.96 = 6,385.08 : x
  2. Step 2: Convert to fraction form
    7,758.64/11,637.96 = 6,385.08/x
  3. Step 3: Cross multiply
    7,758.64x = 11,637.96 × 6,385.08
  4. Step 4: Simplify right side
    7,758.64x = 74,309,305.64
  5. Step 5: Solve for x
    x = 74,309,305.64/7,758.64
  6. Step 6: Final answer
    x = 9,577.62

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Similar ratio
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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.