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Finding the Fourth Proportional to 2,112.48, 3,168.72 and 959.04

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Solution

The fourth proportional to 2,112.48, 3,168.72 and 959.04 is: 1,438.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.48 : 3,168.72 = 959.04 : x
  2. Step 2: Convert to fraction form
    2,112.48/3,168.72 = 959.04/x
  3. Step 3: Cross multiply
    2,112.48x = 3,168.72 × 959.04
  4. Step 4: Simplify right side
    2,112.48x = 3,038,929.23
  5. Step 5: Solve for x
    x = 3,038,929.23/2,112.48
  6. Step 6: Final answer
    x = 1,438.56

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1.5x scale

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.