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Finding the Fourth Proportional to 8,284.56, 12,429 and 4,127.28

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Solution

The fourth proportional to 8,284.56, 12,429 and 4,127.28 is: 6,192.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.56 : 12,429 = 4,127.28 : x
  2. Step 2: Convert to fraction form
    8,284.56/12,429 = 4,127.28/x
  3. Step 3: Cross multiply
    8,284.56x = 12,429 × 4,127.28
  4. Step 4: Simplify right side
    8,284.56x = 51,297,963.12
  5. Step 5: Solve for x
    x = 51,297,963.12/8,284.56
  6. Step 6: Final answer
    x = 6,192.00

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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.