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Finding the Fourth Proportional to 1,512.90, 2,087.79 and 840.70

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Solution

The fourth proportional to 1,512.90, 2,087.79 and 840.70 is: 1,160.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.90 : 2,087.79 = 840.70 : x
  2. Step 2: Convert to fraction form
    1,512.90/2,087.79 = 840.70/x
  3. Step 3: Cross multiply
    1,512.90x = 2,087.79 × 840.70
  4. Step 4: Simplify right side
    1,512.90x = 1,755,205.05
  5. Step 5: Solve for x
    x = 1,755,205.05/1,512.90
  6. Step 6: Final answer
    x = 1,160.16

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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.