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Finding the Fourth Proportional to 7,102.16, 9,801.02 and 3,958.55

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Solution

The fourth proportional to 7,102.16, 9,801.02 and 3,958.55 is: 5,462.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.16 : 9,801.02 = 3,958.55 : x
  2. Step 2: Convert to fraction form
    7,102.16/9,801.02 = 3,958.55/x
  3. Step 3: Cross multiply
    7,102.16x = 9,801.02 × 3,958.55
  4. Step 4: Simplify right side
    7,102.16x = 38,797,788.61
  5. Step 5: Solve for x
    x = 38,797,788.61/7,102.16
  6. Step 6: Final answer
    x = 5,462.82

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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.