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Finding the Fourth Proportional to 2,138.50, 2,951.18 and 1,207

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Solution

The fourth proportional to 2,138.50, 2,951.18 and 1,207 is: 1,665.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.50 : 2,951.18 = 1,207 : x
  2. Step 2: Convert to fraction form
    2,138.50/2,951.18 = 1,207/x
  3. Step 3: Cross multiply
    2,138.50x = 2,951.18 × 1,207
  4. Step 4: Simplify right side
    2,138.50x = 3,562,074.26
  5. Step 5: Solve for x
    x = 3,562,074.26/2,138.50
  6. Step 6: Final answer
    x = 1,665.69

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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.