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Finding the Fourth Proportional to 7,142.78, 9,856.64 and 3,955.91

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Solution

The fourth proportional to 7,142.78, 9,856.64 and 3,955.91 is: 5,458.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.78 : 9,856.64 = 3,955.91 : x
  2. Step 2: Convert to fraction form
    7,142.78/9,856.64 = 3,955.91/x
  3. Step 3: Cross multiply
    7,142.78x = 9,856.64 × 3,955.91
  4. Step 4: Simplify right side
    7,142.78x = 38,991,941.35
  5. Step 5: Solve for x
    x = 38,991,941.35/7,142.78
  6. Step 6: Final answer
    x = 5,458.93

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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.