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Finding the Fourth Proportional to 2,653, 3,650.34 and 2,434.30

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Solution

The fourth proportional to 2,653, 3,650.34 and 2,434.30 is: 3,349.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653 : 3,650.34 = 2,434.30 : x
  2. Step 2: Convert to fraction form
    2,653/3,650.34 = 2,434.30/x
  3. Step 3: Cross multiply
    2,653x = 3,650.34 × 2,434.30
  4. Step 4: Simplify right side
    2,653x = 8,886,022.66
  5. Step 5: Solve for x
    x = 8,886,022.66/2,653
  6. Step 6: Final answer
    x = 3,349.42

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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.