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Finding the Fourth Proportional to 5,422.30, 7,482.78 and 2,938.30

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Solution

The fourth proportional to 5,422.30, 7,482.78 and 2,938.30 is: 4,054.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,422.30 : 7,482.78 = 2,938.30 : x
  2. Step 2: Convert to fraction form
    5,422.30/7,482.78 = 2,938.30/x
  3. Step 3: Cross multiply
    5,422.30x = 7,482.78 × 2,938.30
  4. Step 4: Simplify right side
    5,422.30x = 21,986,652.47
  5. Step 5: Solve for x
    x = 21,986,652.47/5,422.30
  6. Step 6: Final answer
    x = 4,054.86

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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.