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Finding the Fourth Proportional to 28,356.82, 42,531.99 and 7,581.94

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Solution

The fourth proportional to 28,356.82, 42,531.99 and 7,581.94 is: 11,372.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,356.82 : 42,531.99 = 7,581.94 : x
  2. Step 2: Convert to fraction form
    28,356.82/42,531.99 = 7,581.94/x
  3. Step 3: Cross multiply
    28,356.82x = 42,531.99 × 7,581.94
  4. Step 4: Simplify right side
    28,356.82x = 322,475,143.39
  5. Step 5: Solve for x
    x = 322,475,143.39/28,356.82
  6. Step 6: Final answer
    x = 11,372.05

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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.