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Finding the Fourth Proportional to 21,699.75, 29,947.50 and 12,270.14

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Solution

The fourth proportional to 21,699.75, 29,947.50 and 12,270.14 is: 16,933.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,699.75 : 29,947.50 = 12,270.14 : x
  2. Step 2: Convert to fraction form
    21,699.75/29,947.50 = 12,270.14/x
  3. Step 3: Cross multiply
    21,699.75x = 29,947.50 × 12,270.14
  4. Step 4: Simplify right side
    21,699.75x = 367,459,867.91
  5. Step 5: Solve for x
    x = 367,459,867.91/21,699.75
  6. Step 6: Final answer
    x = 16,933.83

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1.5x scale

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.