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Finding the Fourth Proportional to 19,417.60, 29,102 and 8,311.24

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Solution

The fourth proportional to 19,417.60, 29,102 and 8,311.24 is: 12,456.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,417.60 : 29,102 = 8,311.24 : x
  2. Step 2: Convert to fraction form
    19,417.60/29,102 = 8,311.24/x
  3. Step 3: Cross multiply
    19,417.60x = 29,102 × 8,311.24
  4. Step 4: Simplify right side
    19,417.60x = 241,873,706.48
  5. Step 5: Solve for x
    x = 241,873,706.48/19,417.60
  6. Step 6: Final answer
    x = 12,456.42

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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.