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Finding the Fourth Proportional to 2,578, 3,557.70 and 1,399.07

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Solution

The fourth proportional to 2,578, 3,557.70 and 1,399.07 is: 1,930.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578 : 3,557.70 = 1,399.07 : x
  2. Step 2: Convert to fraction form
    2,578/3,557.70 = 1,399.07/x
  3. Step 3: Cross multiply
    2,578x = 3,557.70 × 1,399.07
  4. Step 4: Simplify right side
    2,578x = 4,977,471.34
  5. Step 5: Solve for x
    x = 4,977,471.34/2,578
  6. Step 6: Final answer
    x = 1,930.75

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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.