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Finding the Fourth Proportional to 28,886, 39,862.80 and 15,638

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Solution

The fourth proportional to 28,886, 39,862.80 and 15,638 is: 21,580.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,886 : 39,862.80 = 15,638 : x
  2. Step 2: Convert to fraction form
    28,886/39,862.80 = 15,638/x
  3. Step 3: Cross multiply
    28,886x = 39,862.80 × 15,638
  4. Step 4: Simplify right side
    28,886x = 623,374,466.40
  5. Step 5: Solve for x
    x = 623,374,466.40/28,886
  6. Step 6: Final answer
    x = 21,580.50

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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.