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Finding the Fourth Proportional to 19,785.60, 29,695.20 and 8,107.20

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Solution

The fourth proportional to 19,785.60, 29,695.20 and 8,107.20 is: 12,167.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,785.60 : 29,695.20 = 8,107.20 : x
  2. Step 2: Convert to fraction form
    19,785.60/29,695.20 = 8,107.20/x
  3. Step 3: Cross multiply
    19,785.60x = 29,695.20 × 8,107.20
  4. Step 4: Simplify right side
    19,785.60x = 240,744,925.44
  5. Step 5: Solve for x
    x = 240,744,925.44/19,785.60
  6. Step 6: Final answer
    x = 12,167.68

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1.5x scale

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.