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Finding the Fourth Proportional to 1,331.40, 1,835.13 and 937.74

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Solution

The fourth proportional to 1,331.40, 1,835.13 and 937.74 is: 1,292.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.40 : 1,835.13 = 937.74 : x
  2. Step 2: Convert to fraction form
    1,331.40/1,835.13 = 937.74/x
  3. Step 3: Cross multiply
    1,331.40x = 1,835.13 × 937.74
  4. Step 4: Simplify right side
    1,331.40x = 1,720,874.81
  5. Step 5: Solve for x
    x = 1,720,874.81/1,331.40
  6. Step 6: Final answer
    x = 1,292.53

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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.