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Finding the Fourth Proportional to 9,399.65, 12,971.49 and 5,207.90

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Solution

The fourth proportional to 9,399.65, 12,971.49 and 5,207.90 is: 7,186.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,399.65 : 12,971.49 = 5,207.90 : x
  2. Step 2: Convert to fraction form
    9,399.65/12,971.49 = 5,207.90/x
  3. Step 3: Cross multiply
    9,399.65x = 12,971.49 × 5,207.90
  4. Step 4: Simplify right side
    9,399.65x = 67,554,222.77
  5. Step 5: Solve for x
    x = 67,554,222.77/9,399.65
  6. Step 6: Final answer
    x = 7,186.89

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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.