Home / 1,977.84-2,726.40-1,557.42

Finding the Fourth Proportional to 1,977.84, 2,726.40 and 1,557.42

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Solution

The fourth proportional to 1,977.84, 2,726.40 and 1,557.42 is: 2,146.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.84 : 2,726.40 = 1,557.42 : x
  2. Step 2: Convert to fraction form
    1,977.84/2,726.40 = 1,557.42/x
  3. Step 3: Cross multiply
    1,977.84x = 2,726.40 × 1,557.42
  4. Step 4: Simplify right side
    1,977.84x = 4,246,149.89
  5. Step 5: Solve for x
    x = 4,246,149.89/1,977.84
  6. Step 6: Final answer
    x = 2,146.86

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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.