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Finding the Fourth Proportional to 21,469, 29,617.14 and 15,184.84

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Solution

The fourth proportional to 21,469, 29,617.14 and 15,184.84 is: 20,947.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,469 : 29,617.14 = 15,184.84 : x
  2. Step 2: Convert to fraction form
    21,469/29,617.14 = 15,184.84/x
  3. Step 3: Cross multiply
    21,469x = 29,617.14 × 15,184.84
  4. Step 4: Simplify right side
    21,469x = 449,731,532.16
  5. Step 5: Solve for x
    x = 449,731,532.16/21,469
  6. Step 6: Final answer
    x = 20,947.95

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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.