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Finding the Fourth Proportional to 2,471.58, 3,711.69 and 1,952.10

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Solution

The fourth proportional to 2,471.58, 3,711.69 and 1,952.10 is: 2,931.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.58 : 3,711.69 = 1,952.10 : x
  2. Step 2: Convert to fraction form
    2,471.58/3,711.69 = 1,952.10/x
  3. Step 3: Cross multiply
    2,471.58x = 3,711.69 × 1,952.10
  4. Step 4: Simplify right side
    2,471.58x = 7,245,590.05
  5. Step 5: Solve for x
    x = 7,245,590.05/2,471.58
  6. Step 6: Final answer
    x = 2,931.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.