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Finding the Fourth Proportional to 8,681.40, 11,987.19 and 8,017.98

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Solution

The fourth proportional to 8,681.40, 11,987.19 and 8,017.98 is: 11,071.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,681.40 : 11,987.19 = 8,017.98 : x
  2. Step 2: Convert to fraction form
    8,681.40/11,987.19 = 8,017.98/x
  3. Step 3: Cross multiply
    8,681.40x = 11,987.19 × 8,017.98
  4. Step 4: Simplify right side
    8,681.40x = 96,113,049.68
  5. Step 5: Solve for x
    x = 96,113,049.68/8,681.40
  6. Step 6: Final answer
    x = 11,071.15

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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.