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Finding the Fourth Proportional to 1,512.78, 2,087.93 and 883.31

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Solution

The fourth proportional to 1,512.78, 2,087.93 and 883.31 is: 1,219.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.78 : 2,087.93 = 883.31 : x
  2. Step 2: Convert to fraction form
    1,512.78/2,087.93 = 883.31/x
  3. Step 3: Cross multiply
    1,512.78x = 2,087.93 × 883.31
  4. Step 4: Simplify right side
    1,512.78x = 1,844,276.25
  5. Step 5: Solve for x
    x = 1,844,276.25/1,512.78
  6. Step 6: Final answer
    x = 1,219.13

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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.