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Finding the Fourth Proportional to 28,083.52, 38,754.74 and 15,508

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Solution

The fourth proportional to 28,083.52, 38,754.74 and 15,508 is: 21,400.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,083.52 : 38,754.74 = 15,508 : x
  2. Step 2: Convert to fraction form
    28,083.52/38,754.74 = 15,508/x
  3. Step 3: Cross multiply
    28,083.52x = 38,754.74 × 15,508
  4. Step 4: Simplify right side
    28,083.52x = 601,008,507.92
  5. Step 5: Solve for x
    x = 601,008,507.92/28,083.52
  6. Step 6: Final answer
    x = 21,400.75

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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.