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Finding the Fourth Proportional to 2,459.93, 3,689.99 and 816.62

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Solution

The fourth proportional to 2,459.93, 3,689.99 and 816.62 is: 1,224.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.93 : 3,689.99 = 816.62 : x
  2. Step 2: Convert to fraction form
    2,459.93/3,689.99 = 816.62/x
  3. Step 3: Cross multiply
    2,459.93x = 3,689.99 × 816.62
  4. Step 4: Simplify right side
    2,459.93x = 3,013,297.10
  5. Step 5: Solve for x
    x = 3,013,297.10/2,459.93
  6. Step 6: Final answer
    x = 1,224.95

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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.