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Finding the Fourth Proportional to 11,916.48, 17,871.08 and 8,242.32

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Solution

The fourth proportional to 11,916.48, 17,871.08 and 8,242.32 is: 12,360.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,916.48 : 17,871.08 = 8,242.32 : x
  2. Step 2: Convert to fraction form
    11,916.48/17,871.08 = 8,242.32/x
  3. Step 3: Cross multiply
    11,916.48x = 17,871.08 × 8,242.32
  4. Step 4: Simplify right side
    11,916.48x = 147,299,118.89
  5. Step 5: Solve for x
    x = 147,299,118.89/11,916.48
  6. Step 6: Final answer
    x = 12,360.96

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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.