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Finding the Fourth Proportional to 15,290.64, 22,943.76 and 6,969.48

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Solution

The fourth proportional to 15,290.64, 22,943.76 and 6,969.48 is: 10,457.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,290.64 : 22,943.76 = 6,969.48 : x
  2. Step 2: Convert to fraction form
    15,290.64/22,943.76 = 6,969.48/x
  3. Step 3: Cross multiply
    15,290.64x = 22,943.76 × 6,969.48
  4. Step 4: Simplify right side
    15,290.64x = 159,906,076.44
  5. Step 5: Solve for x
    x = 159,906,076.44/15,290.64
  6. Step 6: Final answer
    x = 10,457.78

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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.