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Finding the Fourth Proportional to 7,143.74, 9,857.92 and 3,956.98

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Solution

The fourth proportional to 7,143.74, 9,857.92 and 3,956.98 is: 5,460.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.74 : 9,857.92 = 3,956.98 : x
  2. Step 2: Convert to fraction form
    7,143.74/9,857.92 = 3,956.98/x
  3. Step 3: Cross multiply
    7,143.74x = 9,857.92 × 3,956.98
  4. Step 4: Simplify right side
    7,143.74x = 39,007,592.28
  5. Step 5: Solve for x
    x = 39,007,592.28/7,143.74
  6. Step 6: Final answer
    x = 5,460.39

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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.