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Finding the Fourth Proportional to 1,756.75, 2,427.52 and 1,671.32

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Solution

The fourth proportional to 1,756.75, 2,427.52 and 1,671.32 is: 2,309.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.75 : 2,427.52 = 1,671.32 : x
  2. Step 2: Convert to fraction form
    1,756.75/2,427.52 = 1,671.32/x
  3. Step 3: Cross multiply
    1,756.75x = 2,427.52 × 1,671.32
  4. Step 4: Simplify right side
    1,756.75x = 4,057,164.62
  5. Step 5: Solve for x
    x = 4,057,164.62/1,756.75
  6. Step 6: Final answer
    x = 2,309.48

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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.