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Finding the Fourth Proportional to 28,889, 39,866.88 and 15,641

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Solution

The fourth proportional to 28,889, 39,866.88 and 15,641 is: 21,584.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,889 : 39,866.88 = 15,641 : x
  2. Step 2: Convert to fraction form
    28,889/39,866.88 = 15,641/x
  3. Step 3: Cross multiply
    28,889x = 39,866.88 × 15,641
  4. Step 4: Simplify right side
    28,889x = 623,557,870.08
  5. Step 5: Solve for x
    x = 623,557,870.08/28,889
  6. Step 6: Final answer
    x = 21,584.61

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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.