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Finding the Fourth Proportional to 20,856.78, 28,783.02 and 11,425.92

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Solution

The fourth proportional to 20,856.78, 28,783.02 and 11,425.92 is: 15,768.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,856.78 : 28,783.02 = 11,425.92 : x
  2. Step 2: Convert to fraction form
    20,856.78/28,783.02 = 11,425.92/x
  3. Step 3: Cross multiply
    20,856.78x = 28,783.02 × 11,425.92
  4. Step 4: Simplify right side
    20,856.78x = 328,872,483.88
  5. Step 5: Solve for x
    x = 328,872,483.88/20,856.78
  6. Step 6: Final answer
    x = 15,768.13

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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.