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Finding the Fourth Proportional to 9,987.49, 13,841 and 9,846.55

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Solution

The fourth proportional to 9,987.49, 13,841 and 9,846.55 is: 13,645.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,987.49 : 13,841 = 9,846.55 : x
  2. Step 2: Convert to fraction form
    9,987.49/13,841 = 9,846.55/x
  3. Step 3: Cross multiply
    9,987.49x = 13,841 × 9,846.55
  4. Step 4: Simplify right side
    9,987.49x = 136,286,029.35
  5. Step 5: Solve for x
    x = 136,286,029.35/9,987.49
  6. Step 6: Final answer
    x = 13,645.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.