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Finding the Fourth Proportional to 1,282.80, 1,921.80 and 1,144.32

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Solution

The fourth proportional to 1,282.80, 1,921.80 and 1,144.32 is: 1,714.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.80 : 1,921.80 = 1,144.32 : x
  2. Step 2: Convert to fraction form
    1,282.80/1,921.80 = 1,144.32/x
  3. Step 3: Cross multiply
    1,282.80x = 1,921.80 × 1,144.32
  4. Step 4: Simplify right side
    1,282.80x = 2,199,154.18
  5. Step 5: Solve for x
    x = 2,199,154.18/1,282.80
  6. Step 6: Final answer
    x = 1,714.34

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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.