Home / 1,952.10-2,928.14-1,407.75

Finding the Fourth Proportional to 1,952.10, 2,928.14 and 1,407.75

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Solution

The fourth proportional to 1,952.10, 2,928.14 and 1,407.75 is: 2,111.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.10 : 2,928.14 = 1,407.75 : x
  2. Step 2: Convert to fraction form
    1,952.10/2,928.14 = 1,407.75/x
  3. Step 3: Cross multiply
    1,952.10x = 2,928.14 × 1,407.75
  4. Step 4: Simplify right side
    1,952.10x = 4,122,082.05
  5. Step 5: Solve for x
    x = 4,122,082.05/1,952.10
  6. Step 6: Final answer
    x = 2,111.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.