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Finding the Fourth Proportional to 15,819.78, 21,831.06 and 8,746.05

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Solution

The fourth proportional to 15,819.78, 21,831.06 and 8,746.05 is: 12,069.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,819.78 : 21,831.06 = 8,746.05 : x
  2. Step 2: Convert to fraction form
    15,819.78/21,831.06 = 8,746.05/x
  3. Step 3: Cross multiply
    15,819.78x = 21,831.06 × 8,746.05
  4. Step 4: Simplify right side
    15,819.78x = 190,935,542.31
  5. Step 5: Solve for x
    x = 190,935,542.31/15,819.78
  6. Step 6: Final answer
    x = 12,069.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.