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Finding the Fourth Proportional to 15,378, 21,229.32 and 10,969.68

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Solution

The fourth proportional to 15,378, 21,229.32 and 10,969.68 is: 15,143.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,378 : 21,229.32 = 10,969.68 : x
  2. Step 2: Convert to fraction form
    15,378/21,229.32 = 10,969.68/x
  3. Step 3: Cross multiply
    15,378x = 21,229.32 × 10,969.68
  4. Step 4: Simplify right side
    15,378x = 232,878,847.02
  5. Step 5: Solve for x
    x = 232,878,847.02/15,378
  6. Step 6: Final answer
    x = 15,143.64

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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.