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Finding the Fourth Proportional to 8,911, 13,364.78 and 2,671.80

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Solution

The fourth proportional to 8,911, 13,364.78 and 2,671.80 is: 4,007.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,911 : 13,364.78 = 2,671.80 : x
  2. Step 2: Convert to fraction form
    8,911/13,364.78 = 2,671.80/x
  3. Step 3: Cross multiply
    8,911x = 13,364.78 × 2,671.80
  4. Step 4: Simplify right side
    8,911x = 35,708,019.20
  5. Step 5: Solve for x
    x = 35,708,019.20/8,911
  6. Step 6: Final answer
    x = 4,007.18

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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.