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Finding the Fourth Proportional to 2,972.34, 4,102.65 and 1,978.20

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Solution

The fourth proportional to 2,972.34, 4,102.65 and 1,978.20 is: 2,730.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.34 : 4,102.65 = 1,978.20 : x
  2. Step 2: Convert to fraction form
    2,972.34/4,102.65 = 1,978.20/x
  3. Step 3: Cross multiply
    2,972.34x = 4,102.65 × 1,978.20
  4. Step 4: Simplify right side
    2,972.34x = 8,115,862.23
  5. Step 5: Solve for x
    x = 8,115,862.23/2,972.34
  6. Step 6: Final answer
    x = 2,730.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.