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Finding the Fourth Proportional to 3,065.78, 4,599.13 and 1,422.50

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Solution

The fourth proportional to 3,065.78, 4,599.13 and 1,422.50 is: 2,133.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.78 : 4,599.13 = 1,422.50 : x
  2. Step 2: Convert to fraction form
    3,065.78/4,599.13 = 1,422.50/x
  3. Step 3: Cross multiply
    3,065.78x = 4,599.13 × 1,422.50
  4. Step 4: Simplify right side
    3,065.78x = 6,542,239.43
  5. Step 5: Solve for x
    x = 6,542,239.43/3,065.78
  6. Step 6: Final answer
    x = 2,133.96

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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.