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Finding the Fourth Proportional to 1,461.62, 2,016.74 and 872.21

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Solution

The fourth proportional to 1,461.62, 2,016.74 and 872.21 is: 1,203.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.62 : 2,016.74 = 872.21 : x
  2. Step 2: Convert to fraction form
    1,461.62/2,016.74 = 872.21/x
  3. Step 3: Cross multiply
    1,461.62x = 2,016.74 × 872.21
  4. Step 4: Simplify right side
    1,461.62x = 1,759,028.02
  5. Step 5: Solve for x
    x = 1,759,028.02/1,461.62
  6. Step 6: Final answer
    x = 1,203.48

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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.