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Finding the Fourth Proportional to 28,201.96, 42,302.94 and 7,428.52

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Solution

The fourth proportional to 28,201.96, 42,302.94 and 7,428.52 is: 11,142.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,201.96 : 42,302.94 = 7,428.52 : x
  2. Step 2: Convert to fraction form
    28,201.96/42,302.94 = 7,428.52/x
  3. Step 3: Cross multiply
    28,201.96x = 42,302.94 × 7,428.52
  4. Step 4: Simplify right side
    28,201.96x = 314,248,235.85
  5. Step 5: Solve for x
    x = 314,248,235.85/28,201.96
  6. Step 6: Final answer
    x = 11,142.78

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1.5x scale

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.