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Finding the Fourth Proportional to 6,471.36, 9,709.20 and 2,574.72

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Solution

The fourth proportional to 6,471.36, 9,709.20 and 2,574.72 is: 3,862.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.36 : 9,709.20 = 2,574.72 : x
  2. Step 2: Convert to fraction form
    6,471.36/9,709.20 = 2,574.72/x
  3. Step 3: Cross multiply
    6,471.36x = 9,709.20 × 2,574.72
  4. Step 4: Simplify right side
    6,471.36x = 24,998,471.42
  5. Step 5: Solve for x
    x = 24,998,471.42/6,471.36
  6. Step 6: Final answer
    x = 3,862.94

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1.5x scale

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.