Home / 4,042-5,578.96-2,471.42

Finding the Fourth Proportional to 4,042, 5,578.96 and 2,471.42

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Solution

The fourth proportional to 4,042, 5,578.96 and 2,471.42 is: 3,411.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,042 : 5,578.96 = 2,471.42 : x
  2. Step 2: Convert to fraction form
    4,042/5,578.96 = 2,471.42/x
  3. Step 3: Cross multiply
    4,042x = 5,578.96 × 2,471.42
  4. Step 4: Simplify right side
    4,042x = 13,787,953.32
  5. Step 5: Solve for x
    x = 13,787,953.32/4,042
  6. Step 6: Final answer
    x = 3,411.17

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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.