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Finding the Fourth Proportional to 23,815, 35,719.75 and 6,286.20

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Solution

The fourth proportional to 23,815, 35,719.75 and 6,286.20 is: 9,428.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,815 : 35,719.75 = 6,286.20 : x
  2. Step 2: Convert to fraction form
    23,815/35,719.75 = 6,286.20/x
  3. Step 3: Cross multiply
    23,815x = 35,719.75 × 6,286.20
  4. Step 4: Simplify right side
    23,815x = 224,541,492.45
  5. Step 5: Solve for x
    x = 224,541,492.45/23,815
  6. Step 6: Final answer
    x = 9,428.57

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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.