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Finding the Fourth Proportional to 7,189.71, 9,921.43 and 4,046.10

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Solution

The fourth proportional to 7,189.71, 9,921.43 and 4,046.10 is: 5,583.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,189.71 : 9,921.43 = 4,046.10 : x
  2. Step 2: Convert to fraction form
    7,189.71/9,921.43 = 4,046.10/x
  3. Step 3: Cross multiply
    7,189.71x = 9,921.43 × 4,046.10
  4. Step 4: Simplify right side
    7,189.71x = 40,143,097.92
  5. Step 5: Solve for x
    x = 40,143,097.92/7,189.71
  6. Step 6: Final answer
    x = 5,583.41

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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.