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Finding the Fourth Proportional to 2,302.81, 3,453.45 and 916.49

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Solution

The fourth proportional to 2,302.81, 3,453.45 and 916.49 is: 1,374.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.81 : 3,453.45 = 916.49 : x
  2. Step 2: Convert to fraction form
    2,302.81/3,453.45 = 916.49/x
  3. Step 3: Cross multiply
    2,302.81x = 3,453.45 × 916.49
  4. Step 4: Simplify right side
    2,302.81x = 3,165,052.39
  5. Step 5: Solve for x
    x = 3,165,052.39/2,302.81
  6. Step 6: Final answer
    x = 1,374.43

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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.