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Finding the Fourth Proportional to 2,138.99, 2,951.80 and 1,207.49

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Solution

The fourth proportional to 2,138.99, 2,951.80 and 1,207.49 is: 1,666.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.99 : 2,951.80 = 1,207.49 : x
  2. Step 2: Convert to fraction form
    2,138.99/2,951.80 = 1,207.49/x
  3. Step 3: Cross multiply
    2,138.99x = 2,951.80 × 1,207.49
  4. Step 4: Simplify right side
    2,138.99x = 3,564,254.22
  5. Step 5: Solve for x
    x = 3,564,254.22/2,138.99
  6. Step 6: Final answer
    x = 1,666.33

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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.