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Finding the Fourth Proportional to 2,902.79, 4,357.06 and 1,517.24

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Solution

The fourth proportional to 2,902.79, 4,357.06 and 1,517.24 is: 2,277.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.79 : 4,357.06 = 1,517.24 : x
  2. Step 2: Convert to fraction form
    2,902.79/4,357.06 = 1,517.24/x
  3. Step 3: Cross multiply
    2,902.79x = 4,357.06 × 1,517.24
  4. Step 4: Simplify right side
    2,902.79x = 6,610,712.81
  5. Step 5: Solve for x
    x = 6,610,712.81/2,902.79
  6. Step 6: Final answer
    x = 2,277.36

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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.