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Finding the Fourth Proportional to 15,408.75, 21,264 and 8,335.02

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Solution

The fourth proportional to 15,408.75, 21,264 and 8,335.02 is: 11,502.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,408.75 : 21,264 = 8,335.02 : x
  2. Step 2: Convert to fraction form
    15,408.75/21,264 = 8,335.02/x
  3. Step 3: Cross multiply
    15,408.75x = 21,264 × 8,335.02
  4. Step 4: Simplify right side
    15,408.75x = 177,235,865.28
  5. Step 5: Solve for x
    x = 177,235,865.28/15,408.75
  6. Step 6: Final answer
    x = 11,502.29

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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.