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Finding the Fourth Proportional to 9,707, 13,395.66 and 5,291

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Solution

The fourth proportional to 9,707, 13,395.66 and 5,291 is: 7,301.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707 : 13,395.66 = 5,291 : x
  2. Step 2: Convert to fraction form
    9,707/13,395.66 = 5,291/x
  3. Step 3: Cross multiply
    9,707x = 13,395.66 × 5,291
  4. Step 4: Simplify right side
    9,707x = 70,876,437.06
  5. Step 5: Solve for x
    x = 70,876,437.06/9,707
  6. Step 6: Final answer
    x = 7,301.58

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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.