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Finding the Fourth Proportional to 7,141.50, 9,854.73 and 4,157.46

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Solution

The fourth proportional to 7,141.50, 9,854.73 and 4,157.46 is: 5,736.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.50 : 9,854.73 = 4,157.46 : x
  2. Step 2: Convert to fraction form
    7,141.50/9,854.73 = 4,157.46/x
  3. Step 3: Cross multiply
    7,141.50x = 9,854.73 × 4,157.46
  4. Step 4: Simplify right side
    7,141.50x = 40,970,645.79
  5. Step 5: Solve for x
    x = 40,970,645.79/7,141.50
  6. Step 6: Final answer
    x = 5,736.98

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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.