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Finding the Fourth Proportional to 8,476.24, 12,714.36 and 3,856

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Solution

The fourth proportional to 8,476.24, 12,714.36 and 3,856 is: 5,784.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,476.24 : 12,714.36 = 3,856 : x
  2. Step 2: Convert to fraction form
    8,476.24/12,714.36 = 3,856/x
  3. Step 3: Cross multiply
    8,476.24x = 12,714.36 × 3,856
  4. Step 4: Simplify right side
    8,476.24x = 49,026,572.16
  5. Step 5: Solve for x
    x = 49,026,572.16/8,476.24
  6. Step 6: Final answer
    x = 5,784.00

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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.