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Finding the Fourth Proportional to 34,288.80, 51,437 and 10,909.80

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Solution

The fourth proportional to 34,288.80, 51,437 and 10,909.80 is: 16,365.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,288.80 : 51,437 = 10,909.80 : x
  2. Step 2: Convert to fraction form
    34,288.80/51,437 = 10,909.80/x
  3. Step 3: Cross multiply
    34,288.80x = 51,437 × 10,909.80
  4. Step 4: Simplify right side
    34,288.80x = 561,167,382.60
  5. Step 5: Solve for x
    x = 561,167,382.60/34,288.80
  6. Step 6: Final answer
    x = 16,365.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.