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Finding the Fourth Proportional to 26,290, 39,432.75 and 9,649.36

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Solution

The fourth proportional to 26,290, 39,432.75 and 9,649.36 is: 14,473.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,290 : 39,432.75 = 9,649.36 : x
  2. Step 2: Convert to fraction form
    26,290/39,432.75 = 9,649.36/x
  3. Step 3: Cross multiply
    26,290x = 39,432.75 × 9,649.36
  4. Step 4: Simplify right side
    26,290x = 380,500,800.54
  5. Step 5: Solve for x
    x = 380,500,800.54/26,290
  6. Step 6: Final answer
    x = 14,473.21

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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.