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Finding the Fourth Proportional to 10,447.44, 15,672.60 and 4,290

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Solution

The fourth proportional to 10,447.44, 15,672.60 and 4,290 is: 6,435.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447.44 : 15,672.60 = 4,290 : x
  2. Step 2: Convert to fraction form
    10,447.44/15,672.60 = 4,290/x
  3. Step 3: Cross multiply
    10,447.44x = 15,672.60 × 4,290
  4. Step 4: Simplify right side
    10,447.44x = 67,235,454
  5. Step 5: Solve for x
    x = 67,235,454/10,447.44
  6. Step 6: Final answer
    x = 6,435.59

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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.