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Finding the Fourth Proportional to 6,909.60, 10,361.28 and 1,978.11

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Solution

The fourth proportional to 6,909.60, 10,361.28 and 1,978.11 is: 2,966.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.60 : 10,361.28 = 1,978.11 : x
  2. Step 2: Convert to fraction form
    6,909.60/10,361.28 = 1,978.11/x
  3. Step 3: Cross multiply
    6,909.60x = 10,361.28 × 1,978.11
  4. Step 4: Simplify right side
    6,909.60x = 20,495,751.58
  5. Step 5: Solve for x
    x = 20,495,751.58/6,909.60
  6. Step 6: Final answer
    x = 2,966.27

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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.