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Finding the Fourth Proportional to 7,098.76, 10,649.76 and 2,169.10

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Solution

The fourth proportional to 7,098.76, 10,649.76 and 2,169.10 is: 3,254.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.76 : 10,649.76 = 2,169.10 : x
  2. Step 2: Convert to fraction form
    7,098.76/10,649.76 = 2,169.10/x
  3. Step 3: Cross multiply
    7,098.76x = 10,649.76 × 2,169.10
  4. Step 4: Simplify right side
    7,098.76x = 23,100,394.42
  5. Step 5: Solve for x
    x = 23,100,394.42/7,098.76
  6. Step 6: Final answer
    x = 3,254.15

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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.