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Finding the Fourth Proportional to 2,707.97, 3,737.21 and 2,153.02

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Solution

The fourth proportional to 2,707.97, 3,737.21 and 2,153.02 is: 2,971.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.97 : 3,737.21 = 2,153.02 : x
  2. Step 2: Convert to fraction form
    2,707.97/3,737.21 = 2,153.02/x
  3. Step 3: Cross multiply
    2,707.97x = 3,737.21 × 2,153.02
  4. Step 4: Simplify right side
    2,707.97x = 8,046,269.19
  5. Step 5: Solve for x
    x = 8,046,269.19/2,707.97
  6. Step 6: Final answer
    x = 2,971.33

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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.