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Finding the Fourth Proportional to 2,196.95, 3,295.98 and 657.95

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Solution

The fourth proportional to 2,196.95, 3,295.98 and 657.95 is: 987.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.95 : 3,295.98 = 657.95 : x
  2. Step 2: Convert to fraction form
    2,196.95/3,295.98 = 657.95/x
  3. Step 3: Cross multiply
    2,196.95x = 3,295.98 × 657.95
  4. Step 4: Simplify right side
    2,196.95x = 2,168,573.56
  5. Step 5: Solve for x
    x = 2,168,573.56/2,196.95
  6. Step 6: Final answer
    x = 987.09

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1.5x scale

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.