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Finding the Fourth Proportional to 8,078.28, 11,146.05 and 4,719.12

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Solution

The fourth proportional to 8,078.28, 11,146.05 and 4,719.12 is: 6,511.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078.28 : 11,146.05 = 4,719.12 : x
  2. Step 2: Convert to fraction form
    8,078.28/11,146.05 = 4,719.12/x
  3. Step 3: Cross multiply
    8,078.28x = 11,146.05 × 4,719.12
  4. Step 4: Simplify right side
    8,078.28x = 52,599,547.48
  5. Step 5: Solve for x
    x = 52,599,547.48/8,078.28
  6. Step 6: Final answer
    x = 6,511.23

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1.5x scale

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.