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Finding the Fourth Proportional to 8,920.79, 13,381.82 and 3,077.31

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Solution

The fourth proportional to 8,920.79, 13,381.82 and 3,077.31 is: 4,616.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,920.79 : 13,381.82 = 3,077.31 : x
  2. Step 2: Convert to fraction form
    8,920.79/13,381.82 = 3,077.31/x
  3. Step 3: Cross multiply
    8,920.79x = 13,381.82 × 3,077.31
  4. Step 4: Simplify right side
    8,920.79x = 41,180,008.50
  5. Step 5: Solve for x
    x = 41,180,008.50/8,920.79
  6. Step 6: Final answer
    x = 4,616.18

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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.