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Finding the Fourth Proportional to 21,408.76, 32,115.88 and 8,264.89

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Solution

The fourth proportional to 21,408.76, 32,115.88 and 8,264.89 is: 12,398.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,408.76 : 32,115.88 = 8,264.89 : x
  2. Step 2: Convert to fraction form
    21,408.76/32,115.88 = 8,264.89/x
  3. Step 3: Cross multiply
    21,408.76x = 32,115.88 × 8,264.89
  4. Step 4: Simplify right side
    21,408.76x = 265,434,215.45
  5. Step 5: Solve for x
    x = 265,434,215.45/21,408.76
  6. Step 6: Final answer
    x = 12,398.39

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1.5x scale

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.