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Finding the Fourth Proportional to 2,358.53, 3,257 and 1,520.74

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Solution

The fourth proportional to 2,358.53, 3,257 and 1,520.74 is: 2,100.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.53 : 3,257 = 1,520.74 : x
  2. Step 2: Convert to fraction form
    2,358.53/3,257 = 1,520.74/x
  3. Step 3: Cross multiply
    2,358.53x = 3,257 × 1,520.74
  4. Step 4: Simplify right side
    2,358.53x = 4,953,042.04
  5. Step 5: Solve for x
    x = 4,953,042.04/2,358.53
  6. Step 6: Final answer
    x = 2,100.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.