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Finding the Fourth Proportional to 2,685.76, 3,704.47 and 2,595.44

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Solution

The fourth proportional to 2,685.76, 3,704.47 and 2,595.44 is: 3,579.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.76 : 3,704.47 = 2,595.44 : x
  2. Step 2: Convert to fraction form
    2,685.76/3,704.47 = 2,595.44/x
  3. Step 3: Cross multiply
    2,685.76x = 3,704.47 × 2,595.44
  4. Step 4: Simplify right side
    2,685.76x = 9,614,729.62
  5. Step 5: Solve for x
    x = 9,614,729.62/2,685.76
  6. Step 6: Final answer
    x = 3,579.89

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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.