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Finding the Fourth Proportional to 4,611.71, 6,917.76 and 1,324.86

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Solution

The fourth proportional to 4,611.71, 6,917.76 and 1,324.86 is: 1,987.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611.71 : 6,917.76 = 1,324.86 : x
  2. Step 2: Convert to fraction form
    4,611.71/6,917.76 = 1,324.86/x
  3. Step 3: Cross multiply
    4,611.71x = 6,917.76 × 1,324.86
  4. Step 4: Simplify right side
    4,611.71x = 9,165,063.51
  5. Step 5: Solve for x
    x = 9,165,063.51/4,611.71
  6. Step 6: Final answer
    x = 1,987.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.