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Finding the Fourth Proportional to 15,201.46, 22,806.60 and 7,811.20

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Solution

The fourth proportional to 15,201.46, 22,806.60 and 7,811.20 is: 11,719.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,201.46 : 22,806.60 = 7,811.20 : x
  2. Step 2: Convert to fraction form
    15,201.46/22,806.60 = 7,811.20/x
  3. Step 3: Cross multiply
    15,201.46x = 22,806.60 × 7,811.20
  4. Step 4: Simplify right side
    15,201.46x = 178,146,913.92
  5. Step 5: Solve for x
    x = 178,146,913.92/15,201.46
  6. Step 6: Final answer
    x = 11,719.07

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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.