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Finding the Fourth Proportional to 8,442.72, 12,665.63 and 2,896.63

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Solution

The fourth proportional to 8,442.72, 12,665.63 and 2,896.63 is: 4,345.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442.72 : 12,665.63 = 2,896.63 : x
  2. Step 2: Convert to fraction form
    8,442.72/12,665.63 = 2,896.63/x
  3. Step 3: Cross multiply
    8,442.72x = 12,665.63 × 2,896.63
  4. Step 4: Simplify right side
    8,442.72x = 36,687,619.40
  5. Step 5: Solve for x
    x = 36,687,619.40/8,442.72
  6. Step 6: Final answer
    x = 4,345.47

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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.