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Finding the Fourth Proportional to 32,984, 49,478.88 and 8,360

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Solution

The fourth proportional to 32,984, 49,478.88 and 8,360 is: 12,540.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,984 : 49,478.88 = 8,360 : x
  2. Step 2: Convert to fraction form
    32,984/49,478.88 = 8,360/x
  3. Step 3: Cross multiply
    32,984x = 49,478.88 × 8,360
  4. Step 4: Simplify right side
    32,984x = 413,643,436.80
  5. Step 5: Solve for x
    x = 413,643,436.80/32,984
  6. Step 6: Final answer
    x = 12,540.73

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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.