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Finding the Fourth Proportional to 8,205.44, 12,304.80 and 5,302.40

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Solution

The fourth proportional to 8,205.44, 12,304.80 and 5,302.40 is: 7,951.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.44 : 12,304.80 = 5,302.40 : x
  2. Step 2: Convert to fraction form
    8,205.44/12,304.80 = 5,302.40/x
  3. Step 3: Cross multiply
    8,205.44x = 12,304.80 × 5,302.40
  4. Step 4: Simplify right side
    8,205.44x = 65,244,971.52
  5. Step 5: Solve for x
    x = 65,244,971.52/8,205.44
  6. Step 6: Final answer
    x = 7,951.43

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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.