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Finding the Fourth Proportional to 15,628, 23,447.76 and 8,232.16

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Solution

The fourth proportional to 15,628, 23,447.76 and 8,232.16 is: 12,351.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,628 : 23,447.76 = 8,232.16 : x
  2. Step 2: Convert to fraction form
    15,628/23,447.76 = 8,232.16/x
  3. Step 3: Cross multiply
    15,628x = 23,447.76 × 8,232.16
  4. Step 4: Simplify right side
    15,628x = 193,025,711.96
  5. Step 5: Solve for x
    x = 193,025,711.96/15,628
  6. Step 6: Final answer
    x = 12,351.27

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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.