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Finding the Fourth Proportional to 8,774.64, 12,112.36 and 5,418

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Solution

The fourth proportional to 8,774.64, 12,112.36 and 5,418 is: 7,478.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,774.64 : 12,112.36 = 5,418 : x
  2. Step 2: Convert to fraction form
    8,774.64/12,112.36 = 5,418/x
  3. Step 3: Cross multiply
    8,774.64x = 12,112.36 × 5,418
  4. Step 4: Simplify right side
    8,774.64x = 65,624,766.48
  5. Step 5: Solve for x
    x = 65,624,766.48/8,774.64
  6. Step 6: Final answer
    x = 7,478.91

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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.