Home / 2,102.55-3,153.87-948.30

Finding the Fourth Proportional to 2,102.55, 3,153.87 and 948.30

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Solution

The fourth proportional to 2,102.55, 3,153.87 and 948.30 is: 1,422.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.55 : 3,153.87 = 948.30 : x
  2. Step 2: Convert to fraction form
    2,102.55/3,153.87 = 948.30/x
  3. Step 3: Cross multiply
    2,102.55x = 3,153.87 × 948.30
  4. Step 4: Simplify right side
    2,102.55x = 2,990,814.92
  5. Step 5: Solve for x
    x = 2,990,814.92/2,102.55
  6. Step 6: Final answer
    x = 1,422.47

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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.