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Finding the Fourth Proportional to 2,153.76, 3,230.16 and 854.88

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Solution

The fourth proportional to 2,153.76, 3,230.16 and 854.88 is: 1,282.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.76 : 3,230.16 = 854.88 : x
  2. Step 2: Convert to fraction form
    2,153.76/3,230.16 = 854.88/x
  3. Step 3: Cross multiply
    2,153.76x = 3,230.16 × 854.88
  4. Step 4: Simplify right side
    2,153.76x = 2,761,399.18
  5. Step 5: Solve for x
    x = 2,761,399.18/2,153.76
  6. Step 6: Final answer
    x = 1,282.13

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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.