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Finding the Fourth Proportional to 8,160, 12,242.56 and 3,543.68

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Solution

The fourth proportional to 8,160, 12,242.56 and 3,543.68 is: 5,316.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,160 : 12,242.56 = 3,543.68 : x
  2. Step 2: Convert to fraction form
    8,160/12,242.56 = 3,543.68/x
  3. Step 3: Cross multiply
    8,160x = 12,242.56 × 3,543.68
  4. Step 4: Simplify right side
    8,160x = 43,383,715.02
  5. Step 5: Solve for x
    x = 43,383,715.02/8,160
  6. Step 6: Final answer
    x = 5,316.63

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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.