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Finding the Fourth Proportional to 8,980.86, 13,472.07 and 2,742.28

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Solution

The fourth proportional to 8,980.86, 13,472.07 and 2,742.28 is: 4,113.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,980.86 : 13,472.07 = 2,742.28 : x
  2. Step 2: Convert to fraction form
    8,980.86/13,472.07 = 2,742.28/x
  3. Step 3: Cross multiply
    8,980.86x = 13,472.07 × 2,742.28
  4. Step 4: Simplify right side
    8,980.86x = 36,944,188.12
  5. Step 5: Solve for x
    x = 36,944,188.12/8,980.86
  6. Step 6: Final answer
    x = 4,113.66

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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.