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Finding the Fourth Proportional to 7,165.72, 9,888.66 and 3,979

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Solution

The fourth proportional to 7,165.72, 9,888.66 and 3,979 is: 5,491.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.72 : 9,888.66 = 3,979 : x
  2. Step 2: Convert to fraction form
    7,165.72/9,888.66 = 3,979/x
  3. Step 3: Cross multiply
    7,165.72x = 9,888.66 × 3,979
  4. Step 4: Simplify right side
    7,165.72x = 39,346,978.14
  5. Step 5: Solve for x
    x = 39,346,978.14/7,165.72
  6. Step 6: Final answer
    x = 5,491.00

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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.