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Finding the Fourth Proportional to 52,091.32, 71,886.96 and 28,219

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Solution

The fourth proportional to 52,091.32, 71,886.96 and 28,219 is: 38,942.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,091.32 : 71,886.96 = 28,219 : x
  2. Step 2: Convert to fraction form
    52,091.32/71,886.96 = 28,219/x
  3. Step 3: Cross multiply
    52,091.32x = 71,886.96 × 28,219
  4. Step 4: Simplify right side
    52,091.32x = 2,028,578,124.24
  5. Step 5: Solve for x
    x = 2,028,578,124.24/52,091.32
  6. Step 6: Final answer
    x = 38,942.73

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Double scale
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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.