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Finding the Fourth Proportional to 2,186.94, 3,279.85 and 647.58

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Solution

The fourth proportional to 2,186.94, 3,279.85 and 647.58 is: 971.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.94 : 3,279.85 = 647.58 : x
  2. Step 2: Convert to fraction form
    2,186.94/3,279.85 = 647.58/x
  3. Step 3: Cross multiply
    2,186.94x = 3,279.85 × 647.58
  4. Step 4: Simplify right side
    2,186.94x = 2,123,965.26
  5. Step 5: Solve for x
    x = 2,123,965.26/2,186.94
  6. Step 6: Final answer
    x = 971.20

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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.