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Finding the Fourth Proportional to 10,605.60, 14,598.97 and 9,169.29

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Solution

The fourth proportional to 10,605.60, 14,598.97 and 9,169.29 is: 12,621.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.60 : 14,598.97 = 9,169.29 : x
  2. Step 2: Convert to fraction form
    10,605.60/14,598.97 = 9,169.29/x
  3. Step 3: Cross multiply
    10,605.60x = 14,598.97 × 9,169.29
  4. Step 4: Simplify right side
    10,605.60x = 133,862,166.71
  5. Step 5: Solve for x
    x = 133,862,166.71/10,605.60
  6. Step 6: Final answer
    x = 12,621.84

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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.