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Finding the Fourth Proportional to 9,796, 13,518.48 and 5,380

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Solution

The fourth proportional to 9,796, 13,518.48 and 5,380 is: 7,424.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796 : 13,518.48 = 5,380 : x
  2. Step 2: Convert to fraction form
    9,796/13,518.48 = 5,380/x
  3. Step 3: Cross multiply
    9,796x = 13,518.48 × 5,380
  4. Step 4: Simplify right side
    9,796x = 72,729,422.40
  5. Step 5: Solve for x
    x = 72,729,422.40/9,796
  6. Step 6: Final answer
    x = 7,424.40

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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.