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Finding the Fourth Proportional to 8,565.10, 12,859.80 and 5,284.60

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Solution

The fourth proportional to 8,565.10, 12,859.80 and 5,284.60 is: 7,934.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,565.10 : 12,859.80 = 5,284.60 : x
  2. Step 2: Convert to fraction form
    8,565.10/12,859.80 = 5,284.60/x
  3. Step 3: Cross multiply
    8,565.10x = 12,859.80 × 5,284.60
  4. Step 4: Simplify right side
    8,565.10x = 67,958,899.08
  5. Step 5: Solve for x
    x = 67,958,899.08/8,565.10
  6. Step 6: Final answer
    x = 7,934.40

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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.