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Finding the Fourth Proportional to 15,813.06, 23,723.19 and 5,424.18

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Solution

The fourth proportional to 15,813.06, 23,723.19 and 5,424.18 is: 8,137.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,813.06 : 23,723.19 = 5,424.18 : x
  2. Step 2: Convert to fraction form
    15,813.06/23,723.19 = 5,424.18/x
  3. Step 3: Cross multiply
    15,813.06x = 23,723.19 × 5,424.18
  4. Step 4: Simplify right side
    15,813.06x = 128,678,852.73
  5. Step 5: Solve for x
    x = 128,678,852.73/15,813.06
  6. Step 6: Final answer
    x = 8,137.50

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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.