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Finding the Fourth Proportional to 2,170.53, 3,255.80 and 783.86

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Solution

The fourth proportional to 2,170.53, 3,255.80 and 783.86 is: 1,175.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.53 : 3,255.80 = 783.86 : x
  2. Step 2: Convert to fraction form
    2,170.53/3,255.80 = 783.86/x
  3. Step 3: Cross multiply
    2,170.53x = 3,255.80 × 783.86
  4. Step 4: Simplify right side
    2,170.53x = 2,552,089.50
  5. Step 5: Solve for x
    x = 2,552,089.50/2,170.53
  6. Step 6: Final answer
    x = 1,175.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.