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Finding the Fourth Proportional to 21,535.16, 29,715.30 and 12,101.92

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Solution

The fourth proportional to 21,535.16, 29,715.30 and 12,101.92 is: 16,698.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,535.16 : 29,715.30 = 12,101.92 : x
  2. Step 2: Convert to fraction form
    21,535.16/29,715.30 = 12,101.92/x
  3. Step 3: Cross multiply
    21,535.16x = 29,715.30 × 12,101.92
  4. Step 4: Simplify right side
    21,535.16x = 359,612,183.38
  5. Step 5: Solve for x
    x = 359,612,183.38/21,535.16
  6. Step 6: Final answer
    x = 16,698.84

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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.