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Finding the Fourth Proportional to 7,665.38, 10,578.13 and 4,308.76

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Solution

The fourth proportional to 7,665.38, 10,578.13 and 4,308.76 is: 5,946.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665.38 : 10,578.13 = 4,308.76 : x
  2. Step 2: Convert to fraction form
    7,665.38/10,578.13 = 4,308.76/x
  3. Step 3: Cross multiply
    7,665.38x = 10,578.13 × 4,308.76
  4. Step 4: Simplify right side
    7,665.38x = 45,578,586.20
  5. Step 5: Solve for x
    x = 45,578,586.20/7,665.38
  6. Step 6: Final answer
    x = 5,946.03

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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.