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Finding the Fourth Proportional to 7,958.72, 10,971.36 and 7,129.28

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Solution

The fourth proportional to 7,958.72, 10,971.36 and 7,129.28 is: 9,827.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,958.72 : 10,971.36 = 7,129.28 : x
  2. Step 2: Convert to fraction form
    7,958.72/10,971.36 = 7,129.28/x
  3. Step 3: Cross multiply
    7,958.72x = 10,971.36 × 7,129.28
  4. Step 4: Simplify right side
    7,958.72x = 78,217,897.42
  5. Step 5: Solve for x
    x = 78,217,897.42/7,958.72
  6. Step 6: Final answer
    x = 9,827.95

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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.