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Finding the Fourth Proportional to 1,637.82, 2,260.20 and 891.74

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Solution

The fourth proportional to 1,637.82, 2,260.20 and 891.74 is: 1,230.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.82 : 2,260.20 = 891.74 : x
  2. Step 2: Convert to fraction form
    1,637.82/2,260.20 = 891.74/x
  3. Step 3: Cross multiply
    1,637.82x = 2,260.20 × 891.74
  4. Step 4: Simplify right side
    1,637.82x = 2,015,506.45
  5. Step 5: Solve for x
    x = 2,015,506.45/1,637.82
  6. Step 6: Final answer
    x = 1,230.60

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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.