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Finding the Fourth Proportional to 11,971.48, 17,957.24 and 9,915.16

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Solution

The fourth proportional to 11,971.48, 17,957.24 and 9,915.16 is: 14,872.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,971.48 : 17,957.24 = 9,915.16 : x
  2. Step 2: Convert to fraction form
    11,971.48/17,957.24 = 9,915.16/x
  3. Step 3: Cross multiply
    11,971.48x = 17,957.24 × 9,915.16
  4. Step 4: Simplify right side
    11,971.48x = 178,048,907.76
  5. Step 5: Solve for x
    x = 178,048,907.76/11,971.48
  6. Step 6: Final answer
    x = 14,872.76

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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.