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Finding the Fourth Proportional to 3,602.34, 5,405.13 and 1,872.18

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Solution

The fourth proportional to 3,602.34, 5,405.13 and 1,872.18 is: 2,809.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.34 : 5,405.13 = 1,872.18 : x
  2. Step 2: Convert to fraction form
    3,602.34/5,405.13 = 1,872.18/x
  3. Step 3: Cross multiply
    3,602.34x = 5,405.13 × 1,872.18
  4. Step 4: Simplify right side
    3,602.34x = 10,119,376.28
  5. Step 5: Solve for x
    x = 10,119,376.28/3,602.34
  6. Step 6: Final answer
    x = 2,809.11

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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.