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Finding the Fourth Proportional to 5,143.94, 7,715.88 and 1,446.15

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Solution

The fourth proportional to 5,143.94, 7,715.88 and 1,446.15 is: 2,169.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143.94 : 7,715.88 = 1,446.15 : x
  2. Step 2: Convert to fraction form
    5,143.94/7,715.88 = 1,446.15/x
  3. Step 3: Cross multiply
    5,143.94x = 7,715.88 × 1,446.15
  4. Step 4: Simplify right side
    5,143.94x = 11,158,274.05
  5. Step 5: Solve for x
    x = 11,158,274.05/5,143.94
  6. Step 6: Final answer
    x = 2,169.21

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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.