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Finding the Fourth Proportional to 2,471.15, 3,689.10 and 2,384.65

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Solution

The fourth proportional to 2,471.15, 3,689.10 and 2,384.65 is: 3,559.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.15 : 3,689.10 = 2,384.65 : x
  2. Step 2: Convert to fraction form
    2,471.15/3,689.10 = 2,384.65/x
  3. Step 3: Cross multiply
    2,471.15x = 3,689.10 × 2,384.65
  4. Step 4: Simplify right side
    2,471.15x = 8,797,203.09
  5. Step 5: Solve for x
    x = 8,797,203.09/2,471.15
  6. Step 6: Final answer
    x = 3,559.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.