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Finding the Fourth Proportional to 8,384, 12,624.88 and 6,208.16

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Solution

The fourth proportional to 8,384, 12,624.88 and 6,208.16 is: 9,348.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384 : 12,624.88 = 6,208.16 : x
  2. Step 2: Convert to fraction form
    8,384/12,624.88 = 6,208.16/x
  3. Step 3: Cross multiply
    8,384x = 12,624.88 × 6,208.16
  4. Step 4: Simplify right side
    8,384x = 78,377,275.02
  5. Step 5: Solve for x
    x = 78,377,275.02/8,384
  6. Step 6: Final answer
    x = 9,348.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.