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Finding the Fourth Proportional to 10,143.28, 13,989 and 6,605.20

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Solution

The fourth proportional to 10,143.28, 13,989 and 6,605.20 is: 9,109.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,143.28 : 13,989 = 6,605.20 : x
  2. Step 2: Convert to fraction form
    10,143.28/13,989 = 6,605.20/x
  3. Step 3: Cross multiply
    10,143.28x = 13,989 × 6,605.20
  4. Step 4: Simplify right side
    10,143.28x = 92,400,142.80
  5. Step 5: Solve for x
    x = 92,400,142.80/10,143.28
  6. Step 6: Final answer
    x = 9,109.49

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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.