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Finding the Fourth Proportional to 32,480, 48,685.08 and 13,755.68

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Solution

The fourth proportional to 32,480, 48,685.08 and 13,755.68 is: 20,618.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,480 : 48,685.08 = 13,755.68 : x
  2. Step 2: Convert to fraction form
    32,480/48,685.08 = 13,755.68/x
  3. Step 3: Cross multiply
    32,480x = 48,685.08 × 13,755.68
  4. Step 4: Simplify right side
    32,480x = 669,696,381.25
  5. Step 5: Solve for x
    x = 669,696,381.25/32,480
  6. Step 6: Final answer
    x = 20,618.73

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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.