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Finding the Fourth Proportional to 3,298.64, 4,941.07 and 1,978.20

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Solution

The fourth proportional to 3,298.64, 4,941.07 and 1,978.20 is: 2,963.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.64 : 4,941.07 = 1,978.20 : x
  2. Step 2: Convert to fraction form
    3,298.64/4,941.07 = 1,978.20/x
  3. Step 3: Cross multiply
    3,298.64x = 4,941.07 × 1,978.20
  4. Step 4: Simplify right side
    3,298.64x = 9,774,419.73
  5. Step 5: Solve for x
    x = 9,774,419.73/3,298.64
  6. Step 6: Final answer
    x = 2,963.17

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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.