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Finding the Fourth Proportional to 3,602.42, 5,406.05 and 1,410.87

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Solution

The fourth proportional to 3,602.42, 5,406.05 and 1,410.87 is: 2,117.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.42 : 5,406.05 = 1,410.87 : x
  2. Step 2: Convert to fraction form
    3,602.42/5,406.05 = 1,410.87/x
  3. Step 3: Cross multiply
    3,602.42x = 5,406.05 × 1,410.87
  4. Step 4: Simplify right side
    3,602.42x = 7,627,237.29
  5. Step 5: Solve for x
    x = 7,627,237.29/3,602.42
  6. Step 6: Final answer
    x = 2,117.26

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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.