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Finding the Fourth Proportional to 2,130.55, 3,196.02 and 897.73

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Solution

The fourth proportional to 2,130.55, 3,196.02 and 897.73 is: 1,346.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.55 : 3,196.02 = 897.73 : x
  2. Step 2: Convert to fraction form
    2,130.55/3,196.02 = 897.73/x
  3. Step 3: Cross multiply
    2,130.55x = 3,196.02 × 897.73
  4. Step 4: Simplify right side
    2,130.55x = 2,869,163.03
  5. Step 5: Solve for x
    x = 2,869,163.03/2,130.55
  6. Step 6: Final answer
    x = 1,346.68

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Double scale
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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.