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Finding the Fourth Proportional to 7,143.50, 9,857.96 and 3,956.86

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Solution

The fourth proportional to 7,143.50, 9,857.96 and 3,956.86 is: 5,460.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.50 : 9,857.96 = 3,956.86 : x
  2. Step 2: Convert to fraction form
    7,143.50/9,857.96 = 3,956.86/x
  3. Step 3: Cross multiply
    7,143.50x = 9,857.96 × 3,956.86
  4. Step 4: Simplify right side
    7,143.50x = 39,006,567.61
  5. Step 5: Solve for x
    x = 39,006,567.61/7,143.50
  6. Step 6: Final answer
    x = 5,460.43

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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.