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Finding the Fourth Proportional to 21,886.47, 32,845.59 and 8,742.60

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Solution

The fourth proportional to 21,886.47, 32,845.59 and 8,742.60 is: 13,120.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,886.47 : 32,845.59 = 8,742.60 : x
  2. Step 2: Convert to fraction form
    21,886.47/32,845.59 = 8,742.60/x
  3. Step 3: Cross multiply
    21,886.47x = 32,845.59 × 8,742.60
  4. Step 4: Simplify right side
    21,886.47x = 287,155,855.13
  5. Step 5: Solve for x
    x = 287,155,855.13/21,886.47
  6. Step 6: Final answer
    x = 13,120.25

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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.