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Finding the Fourth Proportional to 6,471.70, 9,695.12 and 3,690.16

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Solution

The fourth proportional to 6,471.70, 9,695.12 and 3,690.16 is: 5,528.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.70 : 9,695.12 = 3,690.16 : x
  2. Step 2: Convert to fraction form
    6,471.70/9,695.12 = 3,690.16/x
  3. Step 3: Cross multiply
    6,471.70x = 9,695.12 × 3,690.16
  4. Step 4: Simplify right side
    6,471.70x = 35,776,544.02
  5. Step 5: Solve for x
    x = 35,776,544.02/6,471.70
  6. Step 6: Final answer
    x = 5,528.15

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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.