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Finding the Fourth Proportional to 8,511.06, 12,766.65 and 8,139.30

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Solution

The fourth proportional to 8,511.06, 12,766.65 and 8,139.30 is: 12,209.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.06 : 12,766.65 = 8,139.30 : x
  2. Step 2: Convert to fraction form
    8,511.06/12,766.65 = 8,139.30/x
  3. Step 3: Cross multiply
    8,511.06x = 12,766.65 × 8,139.30
  4. Step 4: Simplify right side
    8,511.06x = 103,911,594.35
  5. Step 5: Solve for x
    x = 103,911,594.35/8,511.06
  6. Step 6: Final answer
    x = 12,209.01

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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.