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Finding the Fourth Proportional to 9,142.97, 12,617.04 and 5,416.97

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Solution

The fourth proportional to 9,142.97, 12,617.04 and 5,416.97 is: 7,475.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.97 : 12,617.04 = 5,416.97 : x
  2. Step 2: Convert to fraction form
    9,142.97/12,617.04 = 5,416.97/x
  3. Step 3: Cross multiply
    9,142.97x = 12,617.04 × 5,416.97
  4. Step 4: Simplify right side
    9,142.97x = 68,346,127.17
  5. Step 5: Solve for x
    x = 68,346,127.17/9,142.97
  6. Step 6: Final answer
    x = 7,475.27

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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.