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Finding the Fourth Proportional to 2,656.84, 3,666.90 and 1,661.80

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Solution

The fourth proportional to 2,656.84, 3,666.90 and 1,661.80 is: 2,293.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.84 : 3,666.90 = 1,661.80 : x
  2. Step 2: Convert to fraction form
    2,656.84/3,666.90 = 1,661.80/x
  3. Step 3: Cross multiply
    2,656.84x = 3,666.90 × 1,661.80
  4. Step 4: Simplify right side
    2,656.84x = 6,093,654.42
  5. Step 5: Solve for x
    x = 6,093,654.42/2,656.84
  6. Step 6: Final answer
    x = 2,293.57

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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.