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Finding the Fourth Proportional to 4,948.74, 7,422.31 and 1,830.22

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Solution

The fourth proportional to 4,948.74, 7,422.31 and 1,830.22 is: 2,745.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,948.74 : 7,422.31 = 1,830.22 : x
  2. Step 2: Convert to fraction form
    4,948.74/7,422.31 = 1,830.22/x
  3. Step 3: Cross multiply
    4,948.74x = 7,422.31 × 1,830.22
  4. Step 4: Simplify right side
    4,948.74x = 13,584,460.21
  5. Step 5: Solve for x
    x = 13,584,460.21/4,948.74
  6. Step 6: Final answer
    x = 2,745.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.