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Finding the Fourth Proportional to 2,532, 3,800.13 and 1,362.87

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Solution

The fourth proportional to 2,532, 3,800.13 and 1,362.87 is: 2,045.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532 : 3,800.13 = 1,362.87 : x
  2. Step 2: Convert to fraction form
    2,532/3,800.13 = 1,362.87/x
  3. Step 3: Cross multiply
    2,532x = 3,800.13 × 1,362.87
  4. Step 4: Simplify right side
    2,532x = 5,179,083.17
  5. Step 5: Solve for x
    x = 5,179,083.17/2,532
  6. Step 6: Final answer
    x = 2,045.45

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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.