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Finding the Fourth Proportional to 6,938.69, 9,578.48 and 5,344.76

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Solution

The fourth proportional to 6,938.69, 9,578.48 and 5,344.76 is: 7,378.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,938.69 : 9,578.48 = 5,344.76 : x
  2. Step 2: Convert to fraction form
    6,938.69/9,578.48 = 5,344.76/x
  3. Step 3: Cross multiply
    6,938.69x = 9,578.48 × 5,344.76
  4. Step 4: Simplify right side
    6,938.69x = 51,194,602.15
  5. Step 5: Solve for x
    x = 51,194,602.15/6,938.69
  6. Step 6: Final answer
    x = 7,378.14

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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.