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Finding the Fourth Proportional to 5,141.78, 7,722.08 and 4,708.02

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Solution

The fourth proportional to 5,141.78, 7,722.08 and 4,708.02 is: 7,070.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,141.78 : 7,722.08 = 4,708.02 : x
  2. Step 2: Convert to fraction form
    5,141.78/7,722.08 = 4,708.02/x
  3. Step 3: Cross multiply
    5,141.78x = 7,722.08 × 4,708.02
  4. Step 4: Simplify right side
    5,141.78x = 36,355,683.54
  5. Step 5: Solve for x
    x = 36,355,683.54/5,141.78
  6. Step 6: Final answer
    x = 7,070.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.