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Finding the Fourth Proportional to 11,434.79, 15,781.41 and 6,959

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Solution

The fourth proportional to 11,434.79, 15,781.41 and 6,959 is: 9,604.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,434.79 : 15,781.41 = 6,959 : x
  2. Step 2: Convert to fraction form
    11,434.79/15,781.41 = 6,959/x
  3. Step 3: Cross multiply
    11,434.79x = 15,781.41 × 6,959
  4. Step 4: Simplify right side
    11,434.79x = 109,822,832.19
  5. Step 5: Solve for x
    x = 109,822,832.19/11,434.79
  6. Step 6: Final answer
    x = 9,604.27

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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.