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Finding the Fourth Proportional to 2,300.40, 3,436.02 and 1,650.78

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Solution

The fourth proportional to 2,300.40, 3,436.02 and 1,650.78 is: 2,465.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.40 : 3,436.02 = 1,650.78 : x
  2. Step 2: Convert to fraction form
    2,300.40/3,436.02 = 1,650.78/x
  3. Step 3: Cross multiply
    2,300.40x = 3,436.02 × 1,650.78
  4. Step 4: Simplify right side
    2,300.40x = 5,672,113.10
  5. Step 5: Solve for x
    x = 5,672,113.10/2,300.40
  6. Step 6: Final answer
    x = 2,465.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.