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Finding the Fourth Proportional to 9,729.17, 13,425.50 and 5,480

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Solution

The fourth proportional to 9,729.17, 13,425.50 and 5,480 is: 7,561.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729.17 : 13,425.50 = 5,480 : x
  2. Step 2: Convert to fraction form
    9,729.17/13,425.50 = 5,480/x
  3. Step 3: Cross multiply
    9,729.17x = 13,425.50 × 5,480
  4. Step 4: Simplify right side
    9,729.17x = 73,571,712.60
  5. Step 5: Solve for x
    x = 73,571,712.60/9,729.17
  6. Step 6: Final answer
    x = 7,561.97

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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.