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Finding the Fourth Proportional to 2,813.97, 3,884.94 and 1,931.07

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Solution

The fourth proportional to 2,813.97, 3,884.94 and 1,931.07 is: 2,666.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.97 : 3,884.94 = 1,931.07 : x
  2. Step 2: Convert to fraction form
    2,813.97/3,884.94 = 1,931.07/x
  3. Step 3: Cross multiply
    2,813.97x = 3,884.94 × 1,931.07
  4. Step 4: Simplify right side
    2,813.97x = 7,502,091.09
  5. Step 5: Solve for x
    x = 7,502,091.09/2,813.97
  6. Step 6: Final answer
    x = 2,666.02

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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.