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Finding the Fourth Proportional to 2,128.61, 3,194.74 and 830.99

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Solution

The fourth proportional to 2,128.61, 3,194.74 and 830.99 is: 1,247.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.61 : 3,194.74 = 830.99 : x
  2. Step 2: Convert to fraction form
    2,128.61/3,194.74 = 830.99/x
  3. Step 3: Cross multiply
    2,128.61x = 3,194.74 × 830.99
  4. Step 4: Simplify right side
    2,128.61x = 2,654,781.02
  5. Step 5: Solve for x
    x = 2,654,781.02/2,128.61
  6. Step 6: Final answer
    x = 1,247.19

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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.