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Finding the Fourth Proportional to 15,616.64, 23,422.08 and 8,197.76

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Solution

The fourth proportional to 15,616.64, 23,422.08 and 8,197.76 is: 12,295.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,616.64 : 23,422.08 = 8,197.76 : x
  2. Step 2: Convert to fraction form
    15,616.64/23,422.08 = 8,197.76/x
  3. Step 3: Cross multiply
    15,616.64x = 23,422.08 × 8,197.76
  4. Step 4: Simplify right side
    15,616.64x = 192,008,590.54
  5. Step 5: Solve for x
    x = 192,008,590.54/15,616.64
  6. Step 6: Final answer
    x = 12,295.13

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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.