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Finding the Fourth Proportional to 7,678.72, 10,592 and 5,812.48

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Solution

The fourth proportional to 7,678.72, 10,592 and 5,812.48 is: 8,017.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.72 : 10,592 = 5,812.48 : x
  2. Step 2: Convert to fraction form
    7,678.72/10,592 = 5,812.48/x
  3. Step 3: Cross multiply
    7,678.72x = 10,592 × 5,812.48
  4. Step 4: Simplify right side
    7,678.72x = 61,565,788.16
  5. Step 5: Solve for x
    x = 61,565,788.16/7,678.72
  6. Step 6: Final answer
    x = 8,017.71

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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.