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Finding the Fourth Proportional to 10,782, 14,879.40 and 6,592.56

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Solution

The fourth proportional to 10,782, 14,879.40 and 6,592.56 is: 9,097.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782 : 14,879.40 = 6,592.56 : x
  2. Step 2: Convert to fraction form
    10,782/14,879.40 = 6,592.56/x
  3. Step 3: Cross multiply
    10,782x = 14,879.40 × 6,592.56
  4. Step 4: Simplify right side
    10,782x = 98,093,337.26
  5. Step 5: Solve for x
    x = 98,093,337.26/10,782
  6. Step 6: Final answer
    x = 9,097.88

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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.