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Finding the Fourth Proportional to 2,300.49, 3,450.02 and 1,001.61

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Solution

The fourth proportional to 2,300.49, 3,450.02 and 1,001.61 is: 1,502.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.49 : 3,450.02 = 1,001.61 : x
  2. Step 2: Convert to fraction form
    2,300.49/3,450.02 = 1,001.61/x
  3. Step 3: Cross multiply
    2,300.49x = 3,450.02 × 1,001.61
  4. Step 4: Simplify right side
    2,300.49x = 3,455,569.52
  5. Step 5: Solve for x
    x = 3,455,569.52/2,300.49
  6. Step 6: Final answer
    x = 1,502.10

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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.