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Finding the Fourth Proportional to 8,833.82, 12,201.36 and 6,440

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Solution

The fourth proportional to 8,833.82, 12,201.36 and 6,440 is: 8,894.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,833.82 : 12,201.36 = 6,440 : x
  2. Step 2: Convert to fraction form
    8,833.82/12,201.36 = 6,440/x
  3. Step 3: Cross multiply
    8,833.82x = 12,201.36 × 6,440
  4. Step 4: Simplify right side
    8,833.82x = 78,576,758.40
  5. Step 5: Solve for x
    x = 78,576,758.40/8,833.82
  6. Step 6: Final answer
    x = 8,894.99

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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.