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Finding the Fourth Proportional to 7,001.01, 9,661.50 and 3,857.20

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Solution

The fourth proportional to 7,001.01, 9,661.50 and 3,857.20 is: 5,322.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,001.01 : 9,661.50 = 3,857.20 : x
  2. Step 2: Convert to fraction form
    7,001.01/9,661.50 = 3,857.20/x
  3. Step 3: Cross multiply
    7,001.01x = 9,661.50 × 3,857.20
  4. Step 4: Simplify right side
    7,001.01x = 37,266,337.80
  5. Step 5: Solve for x
    x = 37,266,337.80/7,001.01
  6. Step 6: Final answer
    x = 5,322.99

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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.