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Finding the Fourth Proportional to 6,395.60, 9,585.30 and 3,471.50

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Solution

The fourth proportional to 6,395.60, 9,585.30 and 3,471.50 is: 5,202.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,395.60 : 9,585.30 = 3,471.50 : x
  2. Step 2: Convert to fraction form
    6,395.60/9,585.30 = 3,471.50/x
  3. Step 3: Cross multiply
    6,395.60x = 9,585.30 × 3,471.50
  4. Step 4: Simplify right side
    6,395.60x = 33,275,368.95
  5. Step 5: Solve for x
    x = 33,275,368.95/6,395.60
  6. Step 6: Final answer
    x = 5,202.85

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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.