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Finding the Fourth Proportional to 6,474.60, 9,719.10 and 4,012.20

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Solution

The fourth proportional to 6,474.60, 9,719.10 and 4,012.20 is: 6,022.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.60 : 9,719.10 = 4,012.20 : x
  2. Step 2: Convert to fraction form
    6,474.60/9,719.10 = 4,012.20/x
  3. Step 3: Cross multiply
    6,474.60x = 9,719.10 × 4,012.20
  4. Step 4: Simplify right side
    6,474.60x = 38,994,973.02
  5. Step 5: Solve for x
    x = 38,994,973.02/6,474.60
  6. Step 6: Final answer
    x = 6,022.76

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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.