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Finding the Fourth Proportional to 8,468.81, 11,686.97 and 4,742.81

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Solution

The fourth proportional to 8,468.81, 11,686.97 and 4,742.81 is: 6,545.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,468.81 : 11,686.97 = 4,742.81 : x
  2. Step 2: Convert to fraction form
    8,468.81/11,686.97 = 4,742.81/x
  3. Step 3: Cross multiply
    8,468.81x = 11,686.97 × 4,742.81
  4. Step 4: Simplify right side
    8,468.81x = 55,429,119.26
  5. Step 5: Solve for x
    x = 55,429,119.26/8,468.81
  6. Step 6: Final answer
    x = 6,545.09

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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.