Home / 2,102.63-3,154.34-948.38

Finding the Fourth Proportional to 2,102.63, 3,154.34 and 948.38

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Solution

The fourth proportional to 2,102.63, 3,154.34 and 948.38 is: 1,422.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.63 : 3,154.34 = 948.38 : x
  2. Step 2: Convert to fraction form
    2,102.63/3,154.34 = 948.38/x
  3. Step 3: Cross multiply
    2,102.63x = 3,154.34 × 948.38
  4. Step 4: Simplify right side
    2,102.63x = 2,991,499.57
  5. Step 5: Solve for x
    x = 2,991,499.57/2,102.63
  6. Step 6: Final answer
    x = 1,422.75

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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.