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Finding the Fourth Proportional to 7,159.91, 9,881.42 and 4,016.12

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Solution

The fourth proportional to 7,159.91, 9,881.42 and 4,016.12 is: 5,542.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,159.91 : 9,881.42 = 4,016.12 : x
  2. Step 2: Convert to fraction form
    7,159.91/9,881.42 = 4,016.12/x
  3. Step 3: Cross multiply
    7,159.91x = 9,881.42 × 4,016.12
  4. Step 4: Simplify right side
    7,159.91x = 39,684,899.00
  5. Step 5: Solve for x
    x = 39,684,899.00/7,159.91
  6. Step 6: Final answer
    x = 5,542.66

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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.