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Finding the Fourth Proportional to 15,816, 23,691.20 and 9,222.20

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Solution

The fourth proportional to 15,816, 23,691.20 and 9,222.20 is: 13,814.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,816 : 23,691.20 = 9,222.20 : x
  2. Step 2: Convert to fraction form
    15,816/23,691.20 = 9,222.20/x
  3. Step 3: Cross multiply
    15,816x = 23,691.20 × 9,222.20
  4. Step 4: Simplify right side
    15,816x = 218,484,984.64
  5. Step 5: Solve for x
    x = 218,484,984.64/15,816
  6. Step 6: Final answer
    x = 13,814.17

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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.