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Finding the Fourth Proportional to 2,113.64, 3,170.70 and 881.90

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Solution

The fourth proportional to 2,113.64, 3,170.70 and 881.90 is: 1,322.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.64 : 3,170.70 = 881.90 : x
  2. Step 2: Convert to fraction form
    2,113.64/3,170.70 = 881.90/x
  3. Step 3: Cross multiply
    2,113.64x = 3,170.70 × 881.90
  4. Step 4: Simplify right side
    2,113.64x = 2,796,224.48
  5. Step 5: Solve for x
    x = 2,796,224.48/2,113.64
  6. Step 6: Final answer
    x = 1,322.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.