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Finding the Fourth Proportional to 2,699.48, 4,047.03 and 1,138.47

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Solution

The fourth proportional to 2,699.48, 4,047.03 and 1,138.47 is: 1,706.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.48 : 4,047.03 = 1,138.47 : x
  2. Step 2: Convert to fraction form
    2,699.48/4,047.03 = 1,138.47/x
  3. Step 3: Cross multiply
    2,699.48x = 4,047.03 × 1,138.47
  4. Step 4: Simplify right side
    2,699.48x = 4,607,422.24
  5. Step 5: Solve for x
    x = 4,607,422.24/2,699.48
  6. Step 6: Final answer
    x = 1,706.78

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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.