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Finding the Fourth Proportional to 2,833.65, 3,910.69 and 1,655.10

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Solution

The fourth proportional to 2,833.65, 3,910.69 and 1,655.10 is: 2,284.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.65 : 3,910.69 = 1,655.10 : x
  2. Step 2: Convert to fraction form
    2,833.65/3,910.69 = 1,655.10/x
  3. Step 3: Cross multiply
    2,833.65x = 3,910.69 × 1,655.10
  4. Step 4: Simplify right side
    2,833.65x = 6,472,583.02
  5. Step 5: Solve for x
    x = 6,472,583.02/2,833.65
  6. Step 6: Final answer
    x = 2,284.19

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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.