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Finding the Fourth Proportional to 8,565.83, 12,830.13 and 8,356.73

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Solution

The fourth proportional to 8,565.83, 12,830.13 and 8,356.73 is: 12,516.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,565.83 : 12,830.13 = 8,356.73 : x
  2. Step 2: Convert to fraction form
    8,565.83/12,830.13 = 8,356.73/x
  3. Step 3: Cross multiply
    8,565.83x = 12,830.13 × 8,356.73
  4. Step 4: Simplify right side
    8,565.83x = 107,217,964.35
  5. Step 5: Solve for x
    x = 107,217,964.35/8,565.83
  6. Step 6: Final answer
    x = 12,516.95

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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.