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Finding the Fourth Proportional to 2,784.46, 4,174.87 and 910.12

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Solution

The fourth proportional to 2,784.46, 4,174.87 and 910.12 is: 1,364.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.46 : 4,174.87 = 910.12 : x
  2. Step 2: Convert to fraction form
    2,784.46/4,174.87 = 910.12/x
  3. Step 3: Cross multiply
    2,784.46x = 4,174.87 × 910.12
  4. Step 4: Simplify right side
    2,784.46x = 3,799,632.68
  5. Step 5: Solve for x
    x = 3,799,632.68/2,784.46
  6. Step 6: Final answer
    x = 1,364.59

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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.