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Finding the Fourth Proportional to 7,766.30, 11,577.51 and 7,646.42

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Solution

The fourth proportional to 7,766.30, 11,577.51 and 7,646.42 is: 11,398.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.30 : 11,577.51 = 7,646.42 : x
  2. Step 2: Convert to fraction form
    7,766.30/11,577.51 = 7,646.42/x
  3. Step 3: Cross multiply
    7,766.30x = 11,577.51 × 7,646.42
  4. Step 4: Simplify right side
    7,766.30x = 88,526,446.13
  5. Step 5: Solve for x
    x = 88,526,446.13/7,766.30
  6. Step 6: Final answer
    x = 11,398.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.