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Finding the Fourth Proportional to 21,390.84, 32,063.96 and 8,054.68

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Solution

The fourth proportional to 21,390.84, 32,063.96 and 8,054.68 is: 12,073.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,390.84 : 32,063.96 = 8,054.68 : x
  2. Step 2: Convert to fraction form
    21,390.84/32,063.96 = 8,054.68/x
  3. Step 3: Cross multiply
    21,390.84x = 32,063.96 × 8,054.68
  4. Step 4: Simplify right side
    21,390.84x = 258,264,937.33
  5. Step 5: Solve for x
    x = 258,264,937.33/21,390.84
  6. Step 6: Final answer
    x = 12,073.62

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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.