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Finding the Fourth Proportional to 12,641.05, 18,956.11 and 9,721.41

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Solution

The fourth proportional to 12,641.05, 18,956.11 and 9,721.41 is: 14,577.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,641.05 : 18,956.11 = 9,721.41 : x
  2. Step 2: Convert to fraction form
    12,641.05/18,956.11 = 9,721.41/x
  3. Step 3: Cross multiply
    12,641.05x = 18,956.11 × 9,721.41
  4. Step 4: Simplify right side
    12,641.05x = 184,280,117.32
  5. Step 5: Solve for x
    x = 184,280,117.32/12,641.05
  6. Step 6: Final answer
    x = 14,577.91

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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.