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Finding the Fourth Proportional to 7,187.71, 10,782.78 and 3,292.42

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Solution

The fourth proportional to 7,187.71, 10,782.78 and 3,292.42 is: 4,939.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,187.71 : 10,782.78 = 3,292.42 : x
  2. Step 2: Convert to fraction form
    7,187.71/10,782.78 = 3,292.42/x
  3. Step 3: Cross multiply
    7,187.71x = 10,782.78 × 3,292.42
  4. Step 4: Simplify right side
    7,187.71x = 35,501,440.53
  5. Step 5: Solve for x
    x = 35,501,440.53/7,187.71
  6. Step 6: Final answer
    x = 4,939.19

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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.