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Finding the Fourth Proportional to 7,892.16, 11,773.55 and 7,677.64

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Solution

The fourth proportional to 7,892.16, 11,773.55 and 7,677.64 is: 11,453.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.16 : 11,773.55 = 7,677.64 : x
  2. Step 2: Convert to fraction form
    7,892.16/11,773.55 = 7,677.64/x
  3. Step 3: Cross multiply
    7,892.16x = 11,773.55 × 7,677.64
  4. Step 4: Simplify right side
    7,892.16x = 90,393,107.86
  5. Step 5: Solve for x
    x = 90,393,107.86/7,892.16
  6. Step 6: Final answer
    x = 11,453.54

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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.