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Finding the Fourth Proportional to 8,403.26, 12,606.26 and 2,558.50

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Solution

The fourth proportional to 8,403.26, 12,606.26 and 2,558.50 is: 3,838.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,403.26 : 12,606.26 = 2,558.50 : x
  2. Step 2: Convert to fraction form
    8,403.26/12,606.26 = 2,558.50/x
  3. Step 3: Cross multiply
    8,403.26x = 12,606.26 × 2,558.50
  4. Step 4: Simplify right side
    8,403.26x = 32,253,116.21
  5. Step 5: Solve for x
    x = 32,253,116.21/8,403.26
  6. Step 6: Final answer
    x = 3,838.17

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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.