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Finding the Fourth Proportional to 3,143.95, 4,715.08 and 1,497.22

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Solution

The fourth proportional to 3,143.95, 4,715.08 and 1,497.22 is: 2,245.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.95 : 4,715.08 = 1,497.22 : x
  2. Step 2: Convert to fraction form
    3,143.95/4,715.08 = 1,497.22/x
  3. Step 3: Cross multiply
    3,143.95x = 4,715.08 × 1,497.22
  4. Step 4: Simplify right side
    3,143.95x = 7,059,496.55
  5. Step 5: Solve for x
    x = 7,059,496.55/3,143.95
  6. Step 6: Final answer
    x = 2,245.42

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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.