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Finding the Fourth Proportional to 3,089.20, 4,633.82 and 897.95

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Solution

The fourth proportional to 3,089.20, 4,633.82 and 897.95 is: 1,346.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.20 : 4,633.82 = 897.95 : x
  2. Step 2: Convert to fraction form
    3,089.20/4,633.82 = 897.95/x
  3. Step 3: Cross multiply
    3,089.20x = 4,633.82 × 897.95
  4. Step 4: Simplify right side
    3,089.20x = 4,160,938.67
  5. Step 5: Solve for x
    x = 4,160,938.67/3,089.20
  6. Step 6: Final answer
    x = 1,346.93

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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.