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Finding the Fourth Proportional to 4,981.47, 7,471.09 and 1,471.74

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Solution

The fourth proportional to 4,981.47, 7,471.09 and 1,471.74 is: 2,207.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,981.47 : 7,471.09 = 1,471.74 : x
  2. Step 2: Convert to fraction form
    4,981.47/7,471.09 = 1,471.74/x
  3. Step 3: Cross multiply
    4,981.47x = 7,471.09 × 1,471.74
  4. Step 4: Simplify right side
    4,981.47x = 10,995,467.54
  5. Step 5: Solve for x
    x = 10,995,467.54/4,981.47
  6. Step 6: Final answer
    x = 2,207.28

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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.