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Finding the Fourth Proportional to 8,230.64, 12,347.52 and 4,283.78

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Solution

The fourth proportional to 8,230.64, 12,347.52 and 4,283.78 is: 6,426.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.64 : 12,347.52 = 4,283.78 : x
  2. Step 2: Convert to fraction form
    8,230.64/12,347.52 = 4,283.78/x
  3. Step 3: Cross multiply
    8,230.64x = 12,347.52 × 4,283.78
  4. Step 4: Simplify right side
    8,230.64x = 52,894,059.23
  5. Step 5: Solve for x
    x = 52,894,059.23/8,230.64
  6. Step 6: Final answer
    x = 6,426.48

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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.