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Finding the Fourth Proportional to 2,902.88, 4,343.48 and 1,728.60

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Solution

The fourth proportional to 2,902.88, 4,343.48 and 1,728.60 is: 2,586.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.88 : 4,343.48 = 1,728.60 : x
  2. Step 2: Convert to fraction form
    2,902.88/4,343.48 = 1,728.60/x
  3. Step 3: Cross multiply
    2,902.88x = 4,343.48 × 1,728.60
  4. Step 4: Simplify right side
    2,902.88x = 7,508,139.53
  5. Step 5: Solve for x
    x = 7,508,139.53/2,902.88
  6. Step 6: Final answer
    x = 2,586.45

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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.