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Finding the Fourth Proportional to 2,207.71, 3,312.78 and 910.09

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Solution

The fourth proportional to 2,207.71, 3,312.78 and 910.09 is: 1,365.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.71 : 3,312.78 = 910.09 : x
  2. Step 2: Convert to fraction form
    2,207.71/3,312.78 = 910.09/x
  3. Step 3: Cross multiply
    2,207.71x = 3,312.78 × 910.09
  4. Step 4: Simplify right side
    2,207.71x = 3,014,927.95
  5. Step 5: Solve for x
    x = 3,014,927.95/2,207.71
  6. Step 6: Final answer
    x = 1,365.64

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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.