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Finding the Fourth Proportional to 7,766.79, 10,717.84 and 4,230

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Solution

The fourth proportional to 7,766.79, 10,717.84 and 4,230 is: 5,837.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.79 : 10,717.84 = 4,230 : x
  2. Step 2: Convert to fraction form
    7,766.79/10,717.84 = 4,230/x
  3. Step 3: Cross multiply
    7,766.79x = 10,717.84 × 4,230
  4. Step 4: Simplify right side
    7,766.79x = 45,336,463.20
  5. Step 5: Solve for x
    x = 45,336,463.20/7,766.79
  6. Step 6: Final answer
    x = 5,837.22

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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.