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Finding the Fourth Proportional to 8,969.78, 13,454.64 and 3,497.78

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Solution

The fourth proportional to 8,969.78, 13,454.64 and 3,497.78 is: 5,246.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,969.78 : 13,454.64 = 3,497.78 : x
  2. Step 2: Convert to fraction form
    8,969.78/13,454.64 = 3,497.78/x
  3. Step 3: Cross multiply
    8,969.78x = 13,454.64 × 3,497.78
  4. Step 4: Simplify right side
    8,969.78x = 47,061,370.70
  5. Step 5: Solve for x
    x = 47,061,370.70/8,969.78
  6. Step 6: Final answer
    x = 5,246.66

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1.5x scale

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.