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Finding the Fourth Proportional to 1,620.52, 2,236.19 and 912.49

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Solution

The fourth proportional to 1,620.52, 2,236.19 and 912.49 is: 1,259.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.52 : 2,236.19 = 912.49 : x
  2. Step 2: Convert to fraction form
    1,620.52/2,236.19 = 912.49/x
  3. Step 3: Cross multiply
    1,620.52x = 2,236.19 × 912.49
  4. Step 4: Simplify right side
    1,620.52x = 2,040,490.86
  5. Step 5: Solve for x
    x = 2,040,490.86/1,620.52
  6. Step 6: Final answer
    x = 1,259.16

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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.