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Finding the Fourth Proportional to 19,956.80, 29,906.40 and 8,854.40

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Solution

The fourth proportional to 19,956.80, 29,906.40 and 8,854.40 is: 13,268.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,956.80 : 29,906.40 = 8,854.40 : x
  2. Step 2: Convert to fraction form
    19,956.80/29,906.40 = 8,854.40/x
  3. Step 3: Cross multiply
    19,956.80x = 29,906.40 × 8,854.40
  4. Step 4: Simplify right side
    19,956.80x = 264,803,228.16
  5. Step 5: Solve for x
    x = 264,803,228.16/19,956.80
  6. Step 6: Final answer
    x = 13,268.82

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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.