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Finding the Fourth Proportional to 7,767.88, 10,719.30 and 4,230.88

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Solution

The fourth proportional to 7,767.88, 10,719.30 and 4,230.88 is: 5,838.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.88 : 10,719.30 = 4,230.88 : x
  2. Step 2: Convert to fraction form
    7,767.88/10,719.30 = 4,230.88/x
  3. Step 3: Cross multiply
    7,767.88x = 10,719.30 × 4,230.88
  4. Step 4: Simplify right side
    7,767.88x = 45,352,071.98
  5. Step 5: Solve for x
    x = 45,352,071.98/7,767.88
  6. Step 6: Final answer
    x = 5,838.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.