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Finding the Fourth Proportional to 3,602.42, 5,405.20 and 1,264.10

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Solution

The fourth proportional to 3,602.42, 5,405.20 and 1,264.10 is: 1,896.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.42 : 5,405.20 = 1,264.10 : x
  2. Step 2: Convert to fraction form
    3,602.42/5,405.20 = 1,264.10/x
  3. Step 3: Cross multiply
    3,602.42x = 5,405.20 × 1,264.10
  4. Step 4: Simplify right side
    3,602.42x = 6,832,713.32
  5. Step 5: Solve for x
    x = 6,832,713.32/3,602.42
  6. Step 6: Final answer
    x = 1,896.70

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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.