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Finding the Fourth Proportional to 10,078.19, 13,911.78 and 6,719.78

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Solution

The fourth proportional to 10,078.19, 13,911.78 and 6,719.78 is: 9,275.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078.19 : 13,911.78 = 6,719.78 : x
  2. Step 2: Convert to fraction form
    10,078.19/13,911.78 = 6,719.78/x
  3. Step 3: Cross multiply
    10,078.19x = 13,911.78 × 6,719.78
  4. Step 4: Simplify right side
    10,078.19x = 93,483,997.85
  5. Step 5: Solve for x
    x = 93,483,997.85/10,078.19
  6. Step 6: Final answer
    x = 9,275.87

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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.