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Finding the Fourth Proportional to 7,201.74, 9,938.79 and 4,218.47

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Solution

The fourth proportional to 7,201.74, 9,938.79 and 4,218.47 is: 5,821.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.74 : 9,938.79 = 4,218.47 : x
  2. Step 2: Convert to fraction form
    7,201.74/9,938.79 = 4,218.47/x
  3. Step 3: Cross multiply
    7,201.74x = 9,938.79 × 4,218.47
  4. Step 4: Simplify right side
    7,201.74x = 41,926,437.76
  5. Step 5: Solve for x
    x = 41,926,437.76/7,201.74
  6. Step 6: Final answer
    x = 5,821.71

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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.