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Finding the Fourth Proportional to 8,386.58, 12,579.78 and 3,454.76

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Solution

The fourth proportional to 8,386.58, 12,579.78 and 3,454.76 is: 5,182.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,386.58 : 12,579.78 = 3,454.76 : x
  2. Step 2: Convert to fraction form
    8,386.58/12,579.78 = 3,454.76/x
  3. Step 3: Cross multiply
    8,386.58x = 12,579.78 × 3,454.76
  4. Step 4: Simplify right side
    8,386.58x = 43,460,120.75
  5. Step 5: Solve for x
    x = 43,460,120.75/8,386.58
  6. Step 6: Final answer
    x = 5,182.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.