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Finding the Fourth Proportional to 1,911.68, 2,865.44 and 814.72

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Solution

The fourth proportional to 1,911.68, 2,865.44 and 814.72 is: 1,221.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.68 : 2,865.44 = 814.72 : x
  2. Step 2: Convert to fraction form
    1,911.68/2,865.44 = 814.72/x
  3. Step 3: Cross multiply
    1,911.68x = 2,865.44 × 814.72
  4. Step 4: Simplify right side
    1,911.68x = 2,334,531.28
  5. Step 5: Solve for x
    x = 2,334,531.28/1,911.68
  6. Step 6: Final answer
    x = 1,221.19

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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.