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Finding the Fourth Proportional to 2,471.86, 3,707.70 and 622.84

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Solution

The fourth proportional to 2,471.86, 3,707.70 and 622.84 is: 934.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.86 : 3,707.70 = 622.84 : x
  2. Step 2: Convert to fraction form
    2,471.86/3,707.70 = 622.84/x
  3. Step 3: Cross multiply
    2,471.86x = 3,707.70 × 622.84
  4. Step 4: Simplify right side
    2,471.86x = 2,309,303.87
  5. Step 5: Solve for x
    x = 2,309,303.87/2,471.86
  6. Step 6: Final answer
    x = 934.24

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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.