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Finding the Fourth Proportional to 1,798.50, 2,693.49 and 1,147.26

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Solution

The fourth proportional to 1,798.50, 2,693.49 and 1,147.26 is: 1,718.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.50 : 2,693.49 = 1,147.26 : x
  2. Step 2: Convert to fraction form
    1,798.50/2,693.49 = 1,147.26/x
  3. Step 3: Cross multiply
    1,798.50x = 2,693.49 × 1,147.26
  4. Step 4: Simplify right side
    1,798.50x = 3,090,133.34
  5. Step 5: Solve for x
    x = 3,090,133.34/1,798.50
  6. Step 6: Final answer
    x = 1,718.17

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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.