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Finding the Fourth Proportional to 28,897, 39,877.86 and 15,649

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Solution

The fourth proportional to 28,897, 39,877.86 and 15,649 is: 21,595.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,897 : 39,877.86 = 15,649 : x
  2. Step 2: Convert to fraction form
    28,897/39,877.86 = 15,649/x
  3. Step 3: Cross multiply
    28,897x = 39,877.86 × 15,649
  4. Step 4: Simplify right side
    28,897x = 624,048,631.14
  5. Step 5: Solve for x
    x = 624,048,631.14/28,897
  6. Step 6: Final answer
    x = 21,595.62

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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.