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Finding the Fourth Proportional to 8,402.78, 11,593.32 and 4,865.87

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Solution

The fourth proportional to 8,402.78, 11,593.32 and 4,865.87 is: 6,713.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.78 : 11,593.32 = 4,865.87 : x
  2. Step 2: Convert to fraction form
    8,402.78/11,593.32 = 4,865.87/x
  3. Step 3: Cross multiply
    8,402.78x = 11,593.32 × 4,865.87
  4. Step 4: Simplify right side
    8,402.78x = 56,411,587.99
  5. Step 5: Solve for x
    x = 56,411,587.99/8,402.78
  6. Step 6: Final answer
    x = 6,713.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.