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Finding the Fourth Proportional to 7,146.71, 9,862.49 and 4,164.59

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Solution

The fourth proportional to 7,146.71, 9,862.49 and 4,164.59 is: 5,747.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.71 : 9,862.49 = 4,164.59 : x
  2. Step 2: Convert to fraction form
    7,146.71/9,862.49 = 4,164.59/x
  3. Step 3: Cross multiply
    7,146.71x = 9,862.49 × 4,164.59
  4. Step 4: Simplify right side
    7,146.71x = 41,073,157.09
  5. Step 5: Solve for x
    x = 41,073,157.09/7,146.71
  6. Step 6: Final answer
    x = 5,747.15

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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.