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Finding the Fourth Proportional to 9,697, 13,381.86 and 5,281

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Solution

The fourth proportional to 9,697, 13,381.86 and 5,281 is: 7,287.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697 : 13,381.86 = 5,281 : x
  2. Step 2: Convert to fraction form
    9,697/13,381.86 = 5,281/x
  3. Step 3: Cross multiply
    9,697x = 13,381.86 × 5,281
  4. Step 4: Simplify right side
    9,697x = 70,669,602.66
  5. Step 5: Solve for x
    x = 70,669,602.66/9,697
  6. Step 6: Final answer
    x = 7,287.78

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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.