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Finding the Fourth Proportional to 20,909.76, 28,856.24 and 11,478.24

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Solution

The fourth proportional to 20,909.76, 28,856.24 and 11,478.24 is: 15,840.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,909.76 : 28,856.24 = 11,478.24 : x
  2. Step 2: Convert to fraction form
    20,909.76/28,856.24 = 11,478.24/x
  3. Step 3: Cross multiply
    20,909.76x = 28,856.24 × 11,478.24
  4. Step 4: Simplify right side
    20,909.76x = 331,218,848.22
  5. Step 5: Solve for x
    x = 331,218,848.22/20,909.76
  6. Step 6: Final answer
    x = 15,840.39

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1.5x scale

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.