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Finding the Fourth Proportional to 2,018.01, 3,024.50 and 1,432.08

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Solution

The fourth proportional to 2,018.01, 3,024.50 and 1,432.08 is: 2,146.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.01 : 3,024.50 = 1,432.08 : x
  2. Step 2: Convert to fraction form
    2,018.01/3,024.50 = 1,432.08/x
  3. Step 3: Cross multiply
    2,018.01x = 3,024.50 × 1,432.08
  4. Step 4: Simplify right side
    2,018.01x = 4,331,310.84
  5. Step 5: Solve for x
    x = 4,331,310.84/2,018.01
  6. Step 6: Final answer
    x = 2,146.33

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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.