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Finding the Fourth Proportional to 9,153, 13,729.50 and 3,681

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Solution

The fourth proportional to 9,153, 13,729.50 and 3,681 is: 5,521.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,153 : 13,729.50 = 3,681 : x
  2. Step 2: Convert to fraction form
    9,153/13,729.50 = 3,681/x
  3. Step 3: Cross multiply
    9,153x = 13,729.50 × 3,681
  4. Step 4: Simplify right side
    9,153x = 50,538,289.50
  5. Step 5: Solve for x
    x = 50,538,289.50/9,153
  6. Step 6: Final answer
    x = 5,521.50

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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.