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Finding the Fourth Proportional to 4,253.10, 6,377.04 and 1,653

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Solution

The fourth proportional to 4,253.10, 6,377.04 and 1,653 is: 2,478.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,253.10 : 6,377.04 = 1,653 : x
  2. Step 2: Convert to fraction form
    4,253.10/6,377.04 = 1,653/x
  3. Step 3: Cross multiply
    4,253.10x = 6,377.04 × 1,653
  4. Step 4: Simplify right side
    4,253.10x = 10,541,247.12
  5. Step 5: Solve for x
    x = 10,541,247.12/4,253.10
  6. Step 6: Final answer
    x = 2,478.49

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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.