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Finding the Fourth Proportional to 2,602.11, 3,903.42 and 753.18

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Solution

The fourth proportional to 2,602.11, 3,903.42 and 753.18 is: 1,129.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.11 : 3,903.42 = 753.18 : x
  2. Step 2: Convert to fraction form
    2,602.11/3,903.42 = 753.18/x
  3. Step 3: Cross multiply
    2,602.11x = 3,903.42 × 753.18
  4. Step 4: Simplify right side
    2,602.11x = 2,939,977.88
  5. Step 5: Solve for x
    x = 2,939,977.88/2,602.11
  6. Step 6: Final answer
    x = 1,129.84

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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.