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Finding the Fourth Proportional to 2,406.78, 3,321.41 and 1,358.87

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Solution

The fourth proportional to 2,406.78, 3,321.41 and 1,358.87 is: 1,875.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.78 : 3,321.41 = 1,358.87 : x
  2. Step 2: Convert to fraction form
    2,406.78/3,321.41 = 1,358.87/x
  3. Step 3: Cross multiply
    2,406.78x = 3,321.41 × 1,358.87
  4. Step 4: Simplify right side
    2,406.78x = 4,513,341.01
  5. Step 5: Solve for x
    x = 4,513,341.01/2,406.78
  6. Step 6: Final answer
    x = 1,875.26

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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.