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Finding the Fourth Proportional to 8,605, 11,876.34 and 4,881.16

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Solution

The fourth proportional to 8,605, 11,876.34 and 4,881.16 is: 6,736.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,605 : 11,876.34 = 4,881.16 : x
  2. Step 2: Convert to fraction form
    8,605/11,876.34 = 4,881.16/x
  3. Step 3: Cross multiply
    8,605x = 11,876.34 × 4,881.16
  4. Step 4: Simplify right side
    8,605x = 57,970,315.75
  5. Step 5: Solve for x
    x = 57,970,315.75/8,605
  6. Step 6: Final answer
    x = 6,736.82

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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.