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Finding the Fourth Proportional to 9,398, 12,969.24 and 5,671.28

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Solution

The fourth proportional to 9,398, 12,969.24 and 5,671.28 is: 7,826.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,398 : 12,969.24 = 5,671.28 : x
  2. Step 2: Convert to fraction form
    9,398/12,969.24 = 5,671.28/x
  3. Step 3: Cross multiply
    9,398x = 12,969.24 × 5,671.28
  4. Step 4: Simplify right side
    9,398x = 73,552,191.43
  5. Step 5: Solve for x
    x = 73,552,191.43/9,398
  6. Step 6: Final answer
    x = 7,826.37

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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.