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Finding the Fourth Proportional to 2,661.53, 3,646.31 and 2,561.77

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Solution

The fourth proportional to 2,661.53, 3,646.31 and 2,561.77 is: 3,509.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.53 : 3,646.31 = 2,561.77 : x
  2. Step 2: Convert to fraction form
    2,661.53/3,646.31 = 2,561.77/x
  3. Step 3: Cross multiply
    2,661.53x = 3,646.31 × 2,561.77
  4. Step 4: Simplify right side
    2,661.53x = 9,340,982.93
  5. Step 5: Solve for x
    x = 9,340,982.93/2,661.53
  6. Step 6: Final answer
    x = 3,509.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.