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Finding the Fourth Proportional to 7,767, 10,718.52 and 4,623

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Solution

The fourth proportional to 7,767, 10,718.52 and 4,623 is: 6,379.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767 : 10,718.52 = 4,623 : x
  2. Step 2: Convert to fraction form
    7,767/10,718.52 = 4,623/x
  3. Step 3: Cross multiply
    7,767x = 10,718.52 × 4,623
  4. Step 4: Simplify right side
    7,767x = 49,551,717.96
  5. Step 5: Solve for x
    x = 49,551,717.96/7,767
  6. Step 6: Final answer
    x = 6,379.78

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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.