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Finding the Fourth Proportional to 1,771.81, 2,671.07 and 1,652.92

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Solution

The fourth proportional to 1,771.81, 2,671.07 and 1,652.92 is: 2,491.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.81 : 2,671.07 = 1,652.92 : x
  2. Step 2: Convert to fraction form
    1,771.81/2,671.07 = 1,652.92/x
  3. Step 3: Cross multiply
    1,771.81x = 2,671.07 × 1,652.92
  4. Step 4: Simplify right side
    1,771.81x = 4,415,065.02
  5. Step 5: Solve for x
    x = 4,415,065.02/1,771.81
  6. Step 6: Final answer
    x = 2,491.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.