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Finding the Fourth Proportional to 43,818.48, 65,728.26 and 12,654

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Solution

The fourth proportional to 43,818.48, 65,728.26 and 12,654 is: 18,981.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,818.48 : 65,728.26 = 12,654 : x
  2. Step 2: Convert to fraction form
    43,818.48/65,728.26 = 12,654/x
  3. Step 3: Cross multiply
    43,818.48x = 65,728.26 × 12,654
  4. Step 4: Simplify right side
    43,818.48x = 831,725,402.04
  5. Step 5: Solve for x
    x = 831,725,402.04/43,818.48
  6. Step 6: Final answer
    x = 18,981.16

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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.