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Finding the Fourth Proportional to 8,681.96, 11,977.40 and 5,493.71

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Solution

The fourth proportional to 8,681.96, 11,977.40 and 5,493.71 is: 7,578.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,681.96 : 11,977.40 = 5,493.71 : x
  2. Step 2: Convert to fraction form
    8,681.96/11,977.40 = 5,493.71/x
  3. Step 3: Cross multiply
    8,681.96x = 11,977.40 × 5,493.71
  4. Step 4: Simplify right side
    8,681.96x = 65,800,405.83
  5. Step 5: Solve for x
    x = 65,800,405.83/8,681.96
  6. Step 6: Final answer
    x = 7,578.98

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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.