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Finding the Fourth Proportional to 15,813.81, 21,822.75 and 8,740.26

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Solution

The fourth proportional to 15,813.81, 21,822.75 and 8,740.26 is: 12,061.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,813.81 : 21,822.75 = 8,740.26 : x
  2. Step 2: Convert to fraction form
    15,813.81/21,822.75 = 8,740.26/x
  3. Step 3: Cross multiply
    15,813.81x = 21,822.75 × 8,740.26
  4. Step 4: Simplify right side
    15,813.81x = 190,736,508.92
  5. Step 5: Solve for x
    x = 190,736,508.92/15,813.81
  6. Step 6: Final answer
    x = 12,061.39

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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.