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Finding the Fourth Proportional to 2,206.92, 3,309.80 and 647.04

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Solution

The fourth proportional to 2,206.92, 3,309.80 and 647.04 is: 970.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.92 : 3,309.80 = 647.04 : x
  2. Step 2: Convert to fraction form
    2,206.92/3,309.80 = 647.04/x
  3. Step 3: Cross multiply
    2,206.92x = 3,309.80 × 647.04
  4. Step 4: Simplify right side
    2,206.92x = 2,141,569.76
  5. Step 5: Solve for x
    x = 2,141,569.76/2,206.92
  6. Step 6: Final answer
    x = 970.39

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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.