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Finding the Fourth Proportional to 10,782, 14,879.16 and 7,471.92

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Solution

The fourth proportional to 10,782, 14,879.16 and 7,471.92 is: 10,311.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782 : 14,879.16 = 7,471.92 : x
  2. Step 2: Convert to fraction form
    10,782/14,879.16 = 7,471.92/x
  3. Step 3: Cross multiply
    10,782x = 14,879.16 × 7,471.92
  4. Step 4: Simplify right side
    10,782x = 111,175,893.19
  5. Step 5: Solve for x
    x = 111,175,893.19/10,782
  6. Step 6: Final answer
    x = 10,311.25

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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.