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Finding the Fourth Proportional to 2,153.88, 3,230.76 and 748.20

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Solution

The fourth proportional to 2,153.88, 3,230.76 and 748.20 is: 1,122.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.88 : 3,230.76 = 748.20 : x
  2. Step 2: Convert to fraction form
    2,153.88/3,230.76 = 748.20/x
  3. Step 3: Cross multiply
    2,153.88x = 3,230.76 × 748.20
  4. Step 4: Simplify right side
    2,153.88x = 2,417,254.63
  5. Step 5: Solve for x
    x = 2,417,254.63/2,153.88
  6. Step 6: Final answer
    x = 1,122.28

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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.