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Finding the Fourth Proportional to 8,565.60, 12,834.60 and 4,856.80

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Solution

The fourth proportional to 8,565.60, 12,834.60 and 4,856.80 is: 7,277.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,565.60 : 12,834.60 = 4,856.80 : x
  2. Step 2: Convert to fraction form
    8,565.60/12,834.60 = 4,856.80/x
  3. Step 3: Cross multiply
    8,565.60x = 12,834.60 × 4,856.80
  4. Step 4: Simplify right side
    8,565.60x = 62,335,085.28
  5. Step 5: Solve for x
    x = 62,335,085.28/8,565.60
  6. Step 6: Final answer
    x = 7,277.38

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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.