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Finding the Fourth Proportional to 15,982, 22,055.04 and 8,811.91

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Solution

The fourth proportional to 15,982, 22,055.04 and 8,811.91 is: 12,160.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,982 : 22,055.04 = 8,811.91 : x
  2. Step 2: Convert to fraction form
    15,982/22,055.04 = 8,811.91/x
  3. Step 3: Cross multiply
    15,982x = 22,055.04 × 8,811.91
  4. Step 4: Simplify right side
    15,982x = 194,347,027.53
  5. Step 5: Solve for x
    x = 194,347,027.53/15,982
  6. Step 6: Final answer
    x = 12,160.37

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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.