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Finding the Fourth Proportional to 15,906, 23,859.83 and 4,812.40

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Solution

The fourth proportional to 15,906, 23,859.83 and 4,812.40 is: 7,218.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,906 : 23,859.83 = 4,812.40 : x
  2. Step 2: Convert to fraction form
    15,906/23,859.83 = 4,812.40/x
  3. Step 3: Cross multiply
    15,906x = 23,859.83 × 4,812.40
  4. Step 4: Simplify right side
    15,906x = 114,823,045.89
  5. Step 5: Solve for x
    x = 114,823,045.89/15,906
  6. Step 6: Final answer
    x = 7,218.85

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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.