Home / 2,071.14-2,856-1,442.34

Finding the Fourth Proportional to 2,071.14, 2,856 and 1,442.34

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Solution

The fourth proportional to 2,071.14, 2,856 and 1,442.34 is: 1,988.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.14 : 2,856 = 1,442.34 : x
  2. Step 2: Convert to fraction form
    2,071.14/2,856 = 1,442.34/x
  3. Step 3: Cross multiply
    2,071.14x = 2,856 × 1,442.34
  4. Step 4: Simplify right side
    2,071.14x = 4,119,323.04
  5. Step 5: Solve for x
    x = 4,119,323.04/2,071.14
  6. Step 6: Final answer
    x = 1,988.92

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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.