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Finding the Fourth Proportional to 10,435.44, 15,654.60 and 4,278

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Solution

The fourth proportional to 10,435.44, 15,654.60 and 4,278 is: 6,417.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.44 : 15,654.60 = 4,278 : x
  2. Step 2: Convert to fraction form
    10,435.44/15,654.60 = 4,278/x
  3. Step 3: Cross multiply
    10,435.44x = 15,654.60 × 4,278
  4. Step 4: Simplify right side
    10,435.44x = 66,970,378.80
  5. Step 5: Solve for x
    x = 66,970,378.80/10,435.44
  6. Step 6: Final answer
    x = 6,417.59

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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.