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Finding the Fourth Proportional to 2,471, 3,410.55 and 1,631.87

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Solution

The fourth proportional to 2,471, 3,410.55 and 1,631.87 is: 2,252.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471 : 3,410.55 = 1,631.87 : x
  2. Step 2: Convert to fraction form
    2,471/3,410.55 = 1,631.87/x
  3. Step 3: Cross multiply
    2,471x = 3,410.55 × 1,631.87
  4. Step 4: Simplify right side
    2,471x = 5,565,574.23
  5. Step 5: Solve for x
    x = 5,565,574.23/2,471
  6. Step 6: Final answer
    x = 2,252.36

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Why These Related Problems?

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