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Finding the Fourth Proportional to 7,189.80, 9,921.90 and 4,046.00

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Solution

The fourth proportional to 7,189.80, 9,921.90 and 4,046.00 is: 5,583.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,189.80 : 9,921.90 = 4,046.00 : x
  2. Step 2: Convert to fraction form
    7,189.80/9,921.90 = 4,046.00/x
  3. Step 3: Cross multiply
    7,189.80x = 9,921.90 × 4,046.00
  4. Step 4: Simplify right side
    7,189.80x = 40,143,957.79
  5. Step 5: Solve for x
    x = 40,143,957.79/7,189.80
  6. Step 6: Final answer
    x = 5,583.46

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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.