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Finding the Fourth Proportional to 17,387.24, 26,066.82 and 6,989

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Solution

The fourth proportional to 17,387.24, 26,066.82 and 6,989 is: 10,477.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,387.24 : 26,066.82 = 6,989 : x
  2. Step 2: Convert to fraction form
    17,387.24/26,066.82 = 6,989/x
  3. Step 3: Cross multiply
    17,387.24x = 26,066.82 × 6,989
  4. Step 4: Simplify right side
    17,387.24x = 182,181,004.98
  5. Step 5: Solve for x
    x = 182,181,004.98/17,387.24
  6. Step 6: Final answer
    x = 10,477.86

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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.