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Finding the Fourth Proportional to 2,471.19, 3,410.15 and 1,423.59

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Solution

The fourth proportional to 2,471.19, 3,410.15 and 1,423.59 is: 1,964.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.19 : 3,410.15 = 1,423.59 : x
  2. Step 2: Convert to fraction form
    2,471.19/3,410.15 = 1,423.59/x
  3. Step 3: Cross multiply
    2,471.19x = 3,410.15 × 1,423.59
  4. Step 4: Simplify right side
    2,471.19x = 4,854,648.32
  5. Step 5: Solve for x
    x = 4,854,648.32/2,471.19
  6. Step 6: Final answer
    x = 1,964.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.