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Finding the Fourth Proportional to 2,325.02, 3,487.49 and 681.53

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Solution

The fourth proportional to 2,325.02, 3,487.49 and 681.53 is: 1,022.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.02 : 3,487.49 = 681.53 : x
  2. Step 2: Convert to fraction form
    2,325.02/3,487.49 = 681.53/x
  3. Step 3: Cross multiply
    2,325.02x = 3,487.49 × 681.53
  4. Step 4: Simplify right side
    2,325.02x = 2,376,836.93
  5. Step 5: Solve for x
    x = 2,376,836.93/2,325.02
  6. Step 6: Final answer
    x = 1,022.29

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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.