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Finding the Fourth Proportional to 2,083.66, 2,875.10 and 1,287.09

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Solution

The fourth proportional to 2,083.66, 2,875.10 and 1,287.09 is: 1,775.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.66 : 2,875.10 = 1,287.09 : x
  2. Step 2: Convert to fraction form
    2,083.66/2,875.10 = 1,287.09/x
  3. Step 3: Cross multiply
    2,083.66x = 2,875.10 × 1,287.09
  4. Step 4: Simplify right side
    2,083.66x = 3,700,506.02
  5. Step 5: Solve for x
    x = 3,700,506.02/2,083.66
  6. Step 6: Final answer
    x = 1,775.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.