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Finding the Fourth Proportional to 15,095.76, 20,829.72 and 8,381.25

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Solution

The fourth proportional to 15,095.76, 20,829.72 and 8,381.25 is: 11,564.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,095.76 : 20,829.72 = 8,381.25 : x
  2. Step 2: Convert to fraction form
    15,095.76/20,829.72 = 8,381.25/x
  3. Step 3: Cross multiply
    15,095.76x = 20,829.72 × 8,381.25
  4. Step 4: Simplify right side
    15,095.76x = 174,579,090.75
  5. Step 5: Solve for x
    x = 174,579,090.75/15,095.76
  6. Step 6: Final answer
    x = 11,564.78

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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.