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Finding the Fourth Proportional to 1,531.02, 2,112.87 and 910.02

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Solution

The fourth proportional to 1,531.02, 2,112.87 and 910.02 is: 1,255.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.02 : 2,112.87 = 910.02 : x
  2. Step 2: Convert to fraction form
    1,531.02/2,112.87 = 910.02/x
  3. Step 3: Cross multiply
    1,531.02x = 2,112.87 × 910.02
  4. Step 4: Simplify right side
    1,531.02x = 1,922,753.96
  5. Step 5: Solve for x
    x = 1,922,753.96/1,531.02
  6. Step 6: Final answer
    x = 1,255.86

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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.