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Finding the Fourth Proportional to 1,967.02, 2,711.52 and 1,617.10

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Solution

The fourth proportional to 1,967.02, 2,711.52 and 1,617.10 is: 2,229.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.02 : 2,711.52 = 1,617.10 : x
  2. Step 2: Convert to fraction form
    1,967.02/2,711.52 = 1,617.10/x
  3. Step 3: Cross multiply
    1,967.02x = 2,711.52 × 1,617.10
  4. Step 4: Simplify right side
    1,967.02x = 4,384,798.99
  5. Step 5: Solve for x
    x = 4,384,798.99/1,967.02
  6. Step 6: Final answer
    x = 2,229.16

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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.