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Finding the Fourth Proportional to 8,229.76, 12,345.24 and 2,386.40

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Solution

The fourth proportional to 8,229.76, 12,345.24 and 2,386.40 is: 3,579.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.76 : 12,345.24 = 2,386.40 : x
  2. Step 2: Convert to fraction form
    8,229.76/12,345.24 = 2,386.40/x
  3. Step 3: Cross multiply
    8,229.76x = 12,345.24 × 2,386.40
  4. Step 4: Simplify right side
    8,229.76x = 29,460,680.74
  5. Step 5: Solve for x
    x = 29,460,680.74/8,229.76
  6. Step 6: Final answer
    x = 3,579.77

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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.