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Finding the Fourth Proportional to 30,324.68, 41,836.65 and 30,278.00

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Solution

The fourth proportional to 30,324.68, 41,836.65 and 30,278.00 is: 41,772.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,324.68 : 41,836.65 = 30,278.00 : x
  2. Step 2: Convert to fraction form
    30,324.68/41,836.65 = 30,278.00/x
  3. Step 3: Cross multiply
    30,324.68x = 41,836.65 × 30,278.00
  4. Step 4: Simplify right side
    30,324.68x = 1,266,729,879.52
  5. Step 5: Solve for x
    x = 1,266,729,879.52/30,324.68
  6. Step 6: Final answer
    x = 41,772.25

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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.