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Finding the Fourth Proportional to 3,438, 5,158.02 and 1,978.20

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Solution

The fourth proportional to 3,438, 5,158.02 and 1,978.20 is: 2,967.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438 : 5,158.02 = 1,978.20 : x
  2. Step 2: Convert to fraction form
    3,438/5,158.02 = 1,978.20/x
  3. Step 3: Cross multiply
    3,438x = 5,158.02 × 1,978.20
  4. Step 4: Simplify right side
    3,438x = 10,203,595.16
  5. Step 5: Solve for x
    x = 10,203,595.16/3,438
  6. Step 6: Final answer
    x = 2,967.89

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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.