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Finding the Fourth Proportional to 10,616.12, 14,629.38 and 8,937.80

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Solution

The fourth proportional to 10,616.12, 14,629.38 and 8,937.80 is: 12,316.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.12 : 14,629.38 = 8,937.80 : x
  2. Step 2: Convert to fraction form
    10,616.12/14,629.38 = 8,937.80/x
  3. Step 3: Cross multiply
    10,616.12x = 14,629.38 × 8,937.80
  4. Step 4: Simplify right side
    10,616.12x = 130,754,472.56
  5. Step 5: Solve for x
    x = 130,754,472.56/10,616.12
  6. Step 6: Final answer
    x = 12,316.60

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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.