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Finding the Fourth Proportional to 28,149.46, 38,848.92 and 16,819

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Solution

The fourth proportional to 28,149.46, 38,848.92 and 16,819 is: 23,211.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,149.46 : 38,848.92 = 16,819 : x
  2. Step 2: Convert to fraction form
    28,149.46/38,848.92 = 16,819/x
  3. Step 3: Cross multiply
    28,149.46x = 38,848.92 × 16,819
  4. Step 4: Simplify right side
    28,149.46x = 653,399,985.48
  5. Step 5: Solve for x
    x = 653,399,985.48/28,149.46
  6. Step 6: Final answer
    x = 23,211.81

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1.5x scale

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.