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Finding the Fourth Proportional to 3,309.71, 4,964.99 and 1,117.98

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Solution

The fourth proportional to 3,309.71, 4,964.99 and 1,117.98 is: 1,677.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309.71 : 4,964.99 = 1,117.98 : x
  2. Step 2: Convert to fraction form
    3,309.71/4,964.99 = 1,117.98/x
  3. Step 3: Cross multiply
    3,309.71x = 4,964.99 × 1,117.98
  4. Step 4: Simplify right side
    3,309.71x = 5,550,753.93
  5. Step 5: Solve for x
    x = 5,550,753.93/3,309.71
  6. Step 6: Final answer
    x = 1,677.11

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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.