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Finding the Fourth Proportional to 2,432, 3,642.24 and 2,147.84

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Solution

The fourth proportional to 2,432, 3,642.24 and 2,147.84 is: 3,216.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432 : 3,642.24 = 2,147.84 : x
  2. Step 2: Convert to fraction form
    2,432/3,642.24 = 2,147.84/x
  3. Step 3: Cross multiply
    2,432x = 3,642.24 × 2,147.84
  4. Step 4: Simplify right side
    2,432x = 7,822,948.76
  5. Step 5: Solve for x
    x = 7,822,948.76/2,432
  6. Step 6: Final answer
    x = 3,216.67

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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.