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Finding the Fourth Proportional to 5,732.94, 7,911 and 3,214.71

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Solution

The fourth proportional to 5,732.94, 7,911 and 3,214.71 is: 4,436.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.94 : 7,911 = 3,214.71 : x
  2. Step 2: Convert to fraction form
    5,732.94/7,911 = 3,214.71/x
  3. Step 3: Cross multiply
    5,732.94x = 7,911 × 3,214.71
  4. Step 4: Simplify right side
    5,732.94x = 25,431,570.81
  5. Step 5: Solve for x
    x = 25,431,570.81/5,732.94
  6. Step 6: Final answer
    x = 4,436.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.