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Finding the Fourth Proportional to 15,814, 23,678.88 and 10,251.28

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Solution

The fourth proportional to 15,814, 23,678.88 and 10,251.28 is: 15,349.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,814 : 23,678.88 = 10,251.28 : x
  2. Step 2: Convert to fraction form
    15,814/23,678.88 = 10,251.28/x
  3. Step 3: Cross multiply
    15,814x = 23,678.88 × 10,251.28
  4. Step 4: Simplify right side
    15,814x = 242,738,828.97
  5. Step 5: Solve for x
    x = 242,738,828.97/15,814
  6. Step 6: Final answer
    x = 15,349.62

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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.