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Finding the Fourth Proportional to 8,742.65, 13,113.93 and 5,042.48

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Solution

The fourth proportional to 8,742.65, 13,113.93 and 5,042.48 is: 7,563.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,742.65 : 13,113.93 = 5,042.48 : x
  2. Step 2: Convert to fraction form
    8,742.65/13,113.93 = 5,042.48/x
  3. Step 3: Cross multiply
    8,742.65x = 13,113.93 × 5,042.48
  4. Step 4: Simplify right side
    8,742.65x = 66,126,729.75
  5. Step 5: Solve for x
    x = 66,126,729.75/8,742.65
  6. Step 6: Final answer
    x = 7,563.69

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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.