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Finding the Fourth Proportional to 1,531.07, 2,112.07 and 940.58

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Solution

The fourth proportional to 1,531.07, 2,112.07 and 940.58 is: 1,297.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.07 : 2,112.07 = 940.58 : x
  2. Step 2: Convert to fraction form
    1,531.07/2,112.07 = 940.58/x
  3. Step 3: Cross multiply
    1,531.07x = 2,112.07 × 940.58
  4. Step 4: Simplify right side
    1,531.07x = 1,986,570.80
  5. Step 5: Solve for x
    x = 1,986,570.80/1,531.07
  6. Step 6: Final answer
    x = 1,297.50

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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.