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Finding the Fourth Proportional to 15,791.84, 23,689.02 and 9,218.70

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Solution

The fourth proportional to 15,791.84, 23,689.02 and 9,218.70 is: 13,828.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,791.84 : 23,689.02 = 9,218.70 : x
  2. Step 2: Convert to fraction form
    15,791.84/23,689.02 = 9,218.70/x
  3. Step 3: Cross multiply
    15,791.84x = 23,689.02 × 9,218.70
  4. Step 4: Simplify right side
    15,791.84x = 218,381,968.67
  5. Step 5: Solve for x
    x = 218,381,968.67/15,791.84
  6. Step 6: Final answer
    x = 13,828.79

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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.