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Finding the Fourth Proportional to 34,311.60, 51,454.60 and 13,530.80

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Solution

The fourth proportional to 34,311.60, 51,454.60 and 13,530.80 is: 20,291.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,311.60 : 51,454.60 = 13,530.80 : x
  2. Step 2: Convert to fraction form
    34,311.60/51,454.60 = 13,530.80/x
  3. Step 3: Cross multiply
    34,311.60x = 51,454.60 × 13,530.80
  4. Step 4: Simplify right side
    34,311.60x = 696,221,901.68
  5. Step 5: Solve for x
    x = 696,221,901.68/34,311.60
  6. Step 6: Final answer
    x = 20,291.15

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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.