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Finding the Fourth Proportional to 7,222.38, 9,963.20 and 4,708.70

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Solution

The fourth proportional to 7,222.38, 9,963.20 and 4,708.70 is: 6,495.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,222.38 : 9,963.20 = 4,708.70 : x
  2. Step 2: Convert to fraction form
    7,222.38/9,963.20 = 4,708.70/x
  3. Step 3: Cross multiply
    7,222.38x = 9,963.20 × 4,708.70
  4. Step 4: Simplify right side
    7,222.38x = 46,913,646.48
  5. Step 5: Solve for x
    x = 46,913,646.48/7,222.38
  6. Step 6: Final answer
    x = 6,495.59

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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.