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Finding the Fourth Proportional to 15,428.50, 23,143.83 and 6,194.50

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Solution

The fourth proportional to 15,428.50, 23,143.83 and 6,194.50 is: 9,292.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,428.50 : 23,143.83 = 6,194.50 : x
  2. Step 2: Convert to fraction form
    15,428.50/23,143.83 = 6,194.50/x
  3. Step 3: Cross multiply
    15,428.50x = 23,143.83 × 6,194.50
  4. Step 4: Simplify right side
    15,428.50x = 143,364,454.94
  5. Step 5: Solve for x
    x = 143,364,454.94/15,428.50
  6. Step 6: Final answer
    x = 9,292.18

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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.