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Finding the Fourth Proportional to 4,709.48, 7,064.24 and 1,422.55

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Solution

The fourth proportional to 4,709.48, 7,064.24 and 1,422.55 is: 2,133.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.48 : 7,064.24 = 1,422.55 : x
  2. Step 2: Convert to fraction form
    4,709.48/7,064.24 = 1,422.55/x
  3. Step 3: Cross multiply
    4,709.48x = 7,064.24 × 1,422.55
  4. Step 4: Simplify right side
    4,709.48x = 10,049,234.61
  5. Step 5: Solve for x
    x = 10,049,234.61/4,709.48
  6. Step 6: Final answer
    x = 2,133.83

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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.