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Finding the Fourth Proportional to 15,284.70, 22,978.89 and 12,204.06

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Solution

The fourth proportional to 15,284.70, 22,978.89 and 12,204.06 is: 18,347.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,284.70 : 22,978.89 = 12,204.06 : x
  2. Step 2: Convert to fraction form
    15,284.70/22,978.89 = 12,204.06/x
  3. Step 3: Cross multiply
    15,284.70x = 22,978.89 × 12,204.06
  4. Step 4: Simplify right side
    15,284.70x = 280,435,752.29
  5. Step 5: Solve for x
    x = 280,435,752.29/15,284.70
  6. Step 6: Final answer
    x = 18,347.48

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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.