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Finding the Fourth Proportional to 12,697, 19,052.79 and 9,915.86

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Solution

The fourth proportional to 12,697, 19,052.79 and 9,915.86 is: 14,879.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,697 : 19,052.79 = 9,915.86 : x
  2. Step 2: Convert to fraction form
    12,697/19,052.79 = 9,915.86/x
  3. Step 3: Cross multiply
    12,697x = 19,052.79 × 9,915.86
  4. Step 4: Simplify right side
    12,697x = 188,924,798.25
  5. Step 5: Solve for x
    x = 188,924,798.25/12,697
  6. Step 6: Final answer
    x = 14,879.48

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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.