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Finding the Fourth Proportional to 6,990.71, 10,484.69 and 3,291.95

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Solution

The fourth proportional to 6,990.71, 10,484.69 and 3,291.95 is: 4,937.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,990.71 : 10,484.69 = 3,291.95 : x
  2. Step 2: Convert to fraction form
    6,990.71/10,484.69 = 3,291.95/x
  3. Step 3: Cross multiply
    6,990.71x = 10,484.69 × 3,291.95
  4. Step 4: Simplify right side
    6,990.71x = 34,515,006.36
  5. Step 5: Solve for x
    x = 34,515,006.36/6,990.71
  6. Step 6: Final answer
    x = 4,937.27

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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.