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Finding the Fourth Proportional to 2,650.46, 3,975.21 and 1,006.47

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Solution

The fourth proportional to 2,650.46, 3,975.21 and 1,006.47 is: 1,509.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.46 : 3,975.21 = 1,006.47 : x
  2. Step 2: Convert to fraction form
    2,650.46/3,975.21 = 1,006.47/x
  3. Step 3: Cross multiply
    2,650.46x = 3,975.21 × 1,006.47
  4. Step 4: Simplify right side
    2,650.46x = 4,000,929.61
  5. Step 5: Solve for x
    x = 4,000,929.61/2,650.46
  6. Step 6: Final answer
    x = 1,509.53

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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.