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Finding the Fourth Proportional to 13,674.42, 20,499.30 and 4,907.28

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Solution

The fourth proportional to 13,674.42, 20,499.30 and 4,907.28 is: 7,356.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.42 : 20,499.30 = 4,907.28 : x
  2. Step 2: Convert to fraction form
    13,674.42/20,499.30 = 4,907.28/x
  3. Step 3: Cross multiply
    13,674.42x = 20,499.30 × 4,907.28
  4. Step 4: Simplify right side
    13,674.42x = 100,595,804.90
  5. Step 5: Solve for x
    x = 100,595,804.90/13,674.42
  6. Step 6: Final answer
    x = 7,356.50

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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.