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Finding the Fourth Proportional to 10,707.60, 14,766.12 and 8,348.88

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Solution

The fourth proportional to 10,707.60, 14,766.12 and 8,348.88 is: 11,513.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.60 : 14,766.12 = 8,348.88 : x
  2. Step 2: Convert to fraction form
    10,707.60/14,766.12 = 8,348.88/x
  3. Step 3: Cross multiply
    10,707.60x = 14,766.12 × 8,348.88
  4. Step 4: Simplify right side
    10,707.60x = 123,280,563.95
  5. Step 5: Solve for x
    x = 123,280,563.95/10,707.60
  6. Step 6: Final answer
    x = 11,513.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.