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Finding the Fourth Proportional to 15,848.96, 21,871.23 and 8,774.96

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Solution

The fourth proportional to 15,848.96, 21,871.23 and 8,774.96 is: 12,109.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,848.96 : 21,871.23 = 8,774.96 : x
  2. Step 2: Convert to fraction form
    15,848.96/21,871.23 = 8,774.96/x
  3. Step 3: Cross multiply
    15,848.96x = 21,871.23 × 8,774.96
  4. Step 4: Simplify right side
    15,848.96x = 191,919,168.40
  5. Step 5: Solve for x
    x = 191,919,168.40/15,848.96
  6. Step 6: Final answer
    x = 12,109.26

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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.