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Finding the Fourth Proportional to 15,900, 23,850.16 and 4,806.78

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Solution

The fourth proportional to 15,900, 23,850.16 and 4,806.78 is: 7,210.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,900 : 23,850.16 = 4,806.78 : x
  2. Step 2: Convert to fraction form
    15,900/23,850.16 = 4,806.78/x
  3. Step 3: Cross multiply
    15,900x = 23,850.16 × 4,806.78
  4. Step 4: Simplify right side
    15,900x = 114,642,472.08
  5. Step 5: Solve for x
    x = 114,642,472.08/15,900
  6. Step 6: Final answer
    x = 7,210.22

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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.