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Finding the Fourth Proportional to 9,987.98, 13,780.13 and 6,453.27

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Solution

The fourth proportional to 9,987.98, 13,780.13 and 6,453.27 is: 8,903.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,987.98 : 13,780.13 = 6,453.27 : x
  2. Step 2: Convert to fraction form
    9,987.98/13,780.13 = 6,453.27/x
  3. Step 3: Cross multiply
    9,987.98x = 13,780.13 × 6,453.27
  4. Step 4: Simplify right side
    9,987.98x = 88,926,867.26
  5. Step 5: Solve for x
    x = 88,926,867.26/9,987.98
  6. Step 6: Final answer
    x = 8,903.39

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1.5x scale

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.