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Finding the Fourth Proportional to 1,640.15, 2,263.70 and 967.91

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Solution

The fourth proportional to 1,640.15, 2,263.70 and 967.91 is: 1,335.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.15 : 2,263.70 = 967.91 : x
  2. Step 2: Convert to fraction form
    1,640.15/2,263.70 = 967.91/x
  3. Step 3: Cross multiply
    1,640.15x = 2,263.70 × 967.91
  4. Step 4: Simplify right side
    1,640.15x = 2,191,057.87
  5. Step 5: Solve for x
    x = 2,191,057.87/1,640.15
  6. Step 6: Final answer
    x = 1,335.89

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1.5x scale

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.