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Finding the Fourth Proportional to 7,164.83, 9,888.38 and 4,021.02

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Solution

The fourth proportional to 7,164.83, 9,888.38 and 4,021.02 is: 5,549.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.83 : 9,888.38 = 4,021.02 : x
  2. Step 2: Convert to fraction form
    7,164.83/9,888.38 = 4,021.02/x
  3. Step 3: Cross multiply
    7,164.83x = 9,888.38 × 4,021.02
  4. Step 4: Simplify right side
    7,164.83x = 39,761,304.20
  5. Step 5: Solve for x
    x = 39,761,304.20/7,164.83
  6. Step 6: Final answer
    x = 5,549.51

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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.