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Finding the Fourth Proportional to 8,717.61, 13,082.13 and 5,205

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Solution

The fourth proportional to 8,717.61, 13,082.13 and 5,205 is: 7,810.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,717.61 : 13,082.13 = 5,205 : x
  2. Step 2: Convert to fraction form
    8,717.61/13,082.13 = 5,205/x
  3. Step 3: Cross multiply
    8,717.61x = 13,082.13 × 5,205
  4. Step 4: Simplify right side
    8,717.61x = 68,092,486.65
  5. Step 5: Solve for x
    x = 68,092,486.65/8,717.61
  6. Step 6: Final answer
    x = 7,810.91

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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.