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Finding the Fourth Proportional to 6,617.79, 9,114.48 and 6,142.10

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Solution

The fourth proportional to 6,617.79, 9,114.48 and 6,142.10 is: 8,459.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617.79 : 9,114.48 = 6,142.10 : x
  2. Step 2: Convert to fraction form
    6,617.79/9,114.48 = 6,142.10/x
  3. Step 3: Cross multiply
    6,617.79x = 9,114.48 × 6,142.10
  4. Step 4: Simplify right side
    6,617.79x = 55,982,002.04
  5. Step 5: Solve for x
    x = 55,982,002.04/6,617.79
  6. Step 6: Final answer
    x = 8,459.32

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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.