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Finding the Fourth Proportional to 10,638.67, 15,957.99 and 4,788.44

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Solution

The fourth proportional to 10,638.67, 15,957.99 and 4,788.44 is: 7,182.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638.67 : 15,957.99 = 4,788.44 : x
  2. Step 2: Convert to fraction form
    10,638.67/15,957.99 = 4,788.44/x
  3. Step 3: Cross multiply
    10,638.67x = 15,957.99 × 4,788.44
  4. Step 4: Simplify right side
    10,638.67x = 76,413,877.64
  5. Step 5: Solve for x
    x = 76,413,877.64/10,638.67
  6. Step 6: Final answer
    x = 7,182.65

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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.