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Finding the Fourth Proportional to 10,859.18, 14,978.82 and 8,337.44

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Solution

The fourth proportional to 10,859.18, 14,978.82 and 8,337.44 is: 11,500.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,859.18 : 14,978.82 = 8,337.44 : x
  2. Step 2: Convert to fraction form
    10,859.18/14,978.82 = 8,337.44/x
  3. Step 3: Cross multiply
    10,859.18x = 14,978.82 × 8,337.44
  4. Step 4: Simplify right side
    10,859.18x = 124,884,938.13
  5. Step 5: Solve for x
    x = 124,884,938.13/10,859.18
  6. Step 6: Final answer
    x = 11,500.41

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1.5x scale

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.