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Finding the Fourth Proportional to 6,641.86, 9,959.62 and 3,869.33

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Solution

The fourth proportional to 6,641.86, 9,959.62 and 3,869.33 is: 5,802.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.86 : 9,959.62 = 3,869.33 : x
  2. Step 2: Convert to fraction form
    6,641.86/9,959.62 = 3,869.33/x
  3. Step 3: Cross multiply
    6,641.86x = 9,959.62 × 3,869.33
  4. Step 4: Simplify right side
    6,641.86x = 38,537,056.45
  5. Step 5: Solve for x
    x = 38,537,056.45/6,641.86
  6. Step 6: Final answer
    x = 5,802.15

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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.