Home / 2,132.78-2,942.14-1,424.40

Finding the Fourth Proportional to 2,132.78, 2,942.14 and 1,424.40

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Solution

The fourth proportional to 2,132.78, 2,942.14 and 1,424.40 is: 1,964.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.78 : 2,942.14 = 1,424.40 : x
  2. Step 2: Convert to fraction form
    2,132.78/2,942.14 = 1,424.40/x
  3. Step 3: Cross multiply
    2,132.78x = 2,942.14 × 1,424.40
  4. Step 4: Simplify right side
    2,132.78x = 4,190,779.43
  5. Step 5: Solve for x
    x = 4,190,779.43/2,132.78
  6. Step 6: Final answer
    x = 1,964.94

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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.