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Finding the Fourth Proportional to 5,717.71, 7,892 and 3,360.61

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Solution

The fourth proportional to 5,717.71, 7,892 and 3,360.61 is: 4,638.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,717.71 : 7,892 = 3,360.61 : x
  2. Step 2: Convert to fraction form
    5,717.71/7,892 = 3,360.61/x
  3. Step 3: Cross multiply
    5,717.71x = 7,892 × 3,360.61
  4. Step 4: Simplify right side
    5,717.71x = 26,521,934.12
  5. Step 5: Solve for x
    x = 26,521,934.12/5,717.71
  6. Step 6: Final answer
    x = 4,638.56

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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.