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Finding the Fourth Proportional to 15,211.26, 22,827.93 and 8,642.94

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Solution

The fourth proportional to 15,211.26, 22,827.93 and 8,642.94 is: 12,970.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,211.26 : 22,827.93 = 8,642.94 : x
  2. Step 2: Convert to fraction form
    15,211.26/22,827.93 = 8,642.94/x
  3. Step 3: Cross multiply
    15,211.26x = 22,827.93 × 8,642.94
  4. Step 4: Simplify right side
    15,211.26x = 197,300,429.31
  5. Step 5: Solve for x
    x = 197,300,429.31/15,211.26
  6. Step 6: Final answer
    x = 12,970.68

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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.