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Finding the Fourth Proportional to 7,101.76, 10,649.94 and 2,169.88

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Solution

The fourth proportional to 7,101.76, 10,649.94 and 2,169.88 is: 3,254.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.76 : 10,649.94 = 2,169.88 : x
  2. Step 2: Convert to fraction form
    7,101.76/10,649.94 = 2,169.88/x
  3. Step 3: Cross multiply
    7,101.76x = 10,649.94 × 2,169.88
  4. Step 4: Simplify right side
    7,101.76x = 23,109,091.81
  5. Step 5: Solve for x
    x = 23,109,091.81/7,101.76
  6. Step 6: Final answer
    x = 3,254.00

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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.