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Finding the Fourth Proportional to 7,417.80, 11,134.80 and 4,129.20

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Solution

The fourth proportional to 7,417.80, 11,134.80 and 4,129.20 is: 6,198.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,417.80 : 11,134.80 = 4,129.20 : x
  2. Step 2: Convert to fraction form
    7,417.80/11,134.80 = 4,129.20/x
  3. Step 3: Cross multiply
    7,417.80x = 11,134.80 × 4,129.20
  4. Step 4: Simplify right side
    7,417.80x = 45,977,816.16
  5. Step 5: Solve for x
    x = 45,977,816.16/7,417.80
  6. Step 6: Final answer
    x = 6,198.31

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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.