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Finding the Fourth Proportional to 2,130.80, 3,194.08 and 898.52

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Solution

The fourth proportional to 2,130.80, 3,194.08 and 898.52 is: 1,346.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.80 : 3,194.08 = 898.52 : x
  2. Step 2: Convert to fraction form
    2,130.80/3,194.08 = 898.52/x
  3. Step 3: Cross multiply
    2,130.80x = 3,194.08 × 898.52
  4. Step 4: Simplify right side
    2,130.80x = 2,869,944.76
  5. Step 5: Solve for x
    x = 2,869,944.76/2,130.80
  6. Step 6: Final answer
    x = 1,346.89

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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.