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Finding the Fourth Proportional to 15,813.75, 23,724.22 and 5,424.87

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Solution

The fourth proportional to 15,813.75, 23,724.22 and 5,424.87 is: 8,138.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,813.75 : 23,724.22 = 5,424.87 : x
  2. Step 2: Convert to fraction form
    15,813.75/23,724.22 = 5,424.87/x
  3. Step 3: Cross multiply
    15,813.75x = 23,724.22 × 5,424.87
  4. Step 4: Simplify right side
    15,813.75x = 128,700,809.35
  5. Step 5: Solve for x
    x = 128,700,809.35/15,813.75
  6. Step 6: Final answer
    x = 8,138.54

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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.