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Finding the Fourth Proportional to 1,681.61, 2,519.17 and 816.53

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Solution

The fourth proportional to 1,681.61, 2,519.17 and 816.53 is: 1,223.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.61 : 2,519.17 = 816.53 : x
  2. Step 2: Convert to fraction form
    1,681.61/2,519.17 = 816.53/x
  3. Step 3: Cross multiply
    1,681.61x = 2,519.17 × 816.53
  4. Step 4: Simplify right side
    1,681.61x = 2,056,963.24
  5. Step 5: Solve for x
    x = 2,056,963.24/1,681.61
  6. Step 6: Final answer
    x = 1,223.21

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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.