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Finding the Fourth Proportional to 7,229.84, 9,938.88 and 6,217.84

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Solution

The fourth proportional to 7,229.84, 9,938.88 and 6,217.84 is: 8,547.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,229.84 : 9,938.88 = 6,217.84 : x
  2. Step 2: Convert to fraction form
    7,229.84/9,938.88 = 6,217.84/x
  3. Step 3: Cross multiply
    7,229.84x = 9,938.88 × 6,217.84
  4. Step 4: Simplify right side
    7,229.84x = 61,798,365.62
  5. Step 5: Solve for x
    x = 61,798,365.62/7,229.84
  6. Step 6: Final answer
    x = 8,547.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.