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Finding the Fourth Proportional to 1,701.78, 2,351.07 and 1,621.86

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Solution

The fourth proportional to 1,701.78, 2,351.07 and 1,621.86 is: 2,240.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.78 : 2,351.07 = 1,621.86 : x
  2. Step 2: Convert to fraction form
    1,701.78/2,351.07 = 1,621.86/x
  3. Step 3: Cross multiply
    1,701.78x = 2,351.07 × 1,621.86
  4. Step 4: Simplify right side
    1,701.78x = 3,813,106.39
  5. Step 5: Solve for x
    x = 3,813,106.39/1,701.78
  6. Step 6: Final answer
    x = 2,240.66

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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.