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Finding the Fourth Proportional to 28,832, 39,788.16 and 15,584

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Solution

The fourth proportional to 28,832, 39,788.16 and 15,584 is: 21,505.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,832 : 39,788.16 = 15,584 : x
  2. Step 2: Convert to fraction form
    28,832/39,788.16 = 15,584/x
  3. Step 3: Cross multiply
    28,832x = 39,788.16 × 15,584
  4. Step 4: Simplify right side
    28,832x = 620,058,685.44
  5. Step 5: Solve for x
    x = 620,058,685.44/28,832
  6. Step 6: Final answer
    x = 21,505.92

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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.