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Finding the Fourth Proportional to 15,886.31, 21,925.96 and 9,171

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Solution

The fourth proportional to 15,886.31, 21,925.96 and 9,171 is: 12,657.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,886.31 : 21,925.96 = 9,171 : x
  2. Step 2: Convert to fraction form
    15,886.31/21,925.96 = 9,171/x
  3. Step 3: Cross multiply
    15,886.31x = 21,925.96 × 9,171
  4. Step 4: Simplify right side
    15,886.31x = 201,082,956.23
  5. Step 5: Solve for x
    x = 201,082,956.23/15,886.31
  6. Step 6: Final answer
    x = 12,657.63

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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.