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Finding the Fourth Proportional to 2,196.88, 3,295.32 and 657.88

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Solution

The fourth proportional to 2,196.88, 3,295.32 and 657.88 is: 986.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.88 : 3,295.32 = 657.88 : x
  2. Step 2: Convert to fraction form
    2,196.88/3,295.32 = 657.88/x
  3. Step 3: Cross multiply
    2,196.88x = 3,295.32 × 657.88
  4. Step 4: Simplify right side
    2,196.88x = 2,167,925.12
  5. Step 5: Solve for x
    x = 2,167,925.12/2,196.88
  6. Step 6: Final answer
    x = 986.82

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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.