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Finding the Fourth Proportional to 1,671.66, 2,291.88 and 1,642.05

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Solution

The fourth proportional to 1,671.66, 2,291.88 and 1,642.05 is: 2,251.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.66 : 2,291.88 = 1,642.05 : x
  2. Step 2: Convert to fraction form
    1,671.66/2,291.88 = 1,642.05/x
  3. Step 3: Cross multiply
    1,671.66x = 2,291.88 × 1,642.05
  4. Step 4: Simplify right side
    1,671.66x = 3,763,381.55
  5. Step 5: Solve for x
    x = 3,763,381.55/1,671.66
  6. Step 6: Final answer
    x = 2,251.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.