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Finding the Fourth Proportional to 10,616.60, 14,651.10 and 6,140.60

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Solution

The fourth proportional to 10,616.60, 14,651.10 and 6,140.60 is: 8,474.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.60 : 14,651.10 = 6,140.60 : x
  2. Step 2: Convert to fraction form
    10,616.60/14,651.10 = 6,140.60/x
  3. Step 3: Cross multiply
    10,616.60x = 14,651.10 × 6,140.60
  4. Step 4: Simplify right side
    10,616.60x = 89,966,544.66
  5. Step 5: Solve for x
    x = 89,966,544.66/10,616.60
  6. Step 6: Final answer
    x = 8,474.14

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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.