Home / 2,142-2,956.14-1,356.66

Finding the Fourth Proportional to 2,142, 2,956.14 and 1,356.66

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Solution

The fourth proportional to 2,142, 2,956.14 and 1,356.66 is: 1,872.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142 : 2,956.14 = 1,356.66 : x
  2. Step 2: Convert to fraction form
    2,142/2,956.14 = 1,356.66/x
  3. Step 3: Cross multiply
    2,142x = 2,956.14 × 1,356.66
  4. Step 4: Simplify right side
    2,142x = 4,010,476.89
  5. Step 5: Solve for x
    x = 4,010,476.89/2,142
  6. Step 6: Final answer
    x = 1,872.30

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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.