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Finding the Fourth Proportional to 2,297.70, 3,447.68 and 912.03

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Solution

The fourth proportional to 2,297.70, 3,447.68 and 912.03 is: 1,368.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.70 : 3,447.68 = 912.03 : x
  2. Step 2: Convert to fraction form
    2,297.70/3,447.68 = 912.03/x
  3. Step 3: Cross multiply
    2,297.70x = 3,447.68 × 912.03
  4. Step 4: Simplify right side
    2,297.70x = 3,144,387.59
  5. Step 5: Solve for x
    x = 3,144,387.59/2,297.70
  6. Step 6: Final answer
    x = 1,368.49

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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.