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Finding the Fourth Proportional to 2,207.62, 3,311.43 and 647.63

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Solution

The fourth proportional to 2,207.62, 3,311.43 and 647.63 is: 971.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.62 : 3,311.43 = 647.63 : x
  2. Step 2: Convert to fraction form
    2,207.62/3,311.43 = 647.63/x
  3. Step 3: Cross multiply
    2,207.62x = 3,311.43 × 647.63
  4. Step 4: Simplify right side
    2,207.62x = 2,144,561.62
  5. Step 5: Solve for x
    x = 2,144,561.62/2,207.62
  6. Step 6: Final answer
    x = 971.44

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1.5x scale

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.