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Finding the Fourth Proportional to 9,019.28, 13,530 and 3,174.68

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Solution

The fourth proportional to 9,019.28, 13,530 and 3,174.68 is: 4,762.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,019.28 : 13,530 = 3,174.68 : x
  2. Step 2: Convert to fraction form
    9,019.28/13,530 = 3,174.68/x
  3. Step 3: Cross multiply
    9,019.28x = 13,530 × 3,174.68
  4. Step 4: Simplify right side
    9,019.28x = 42,953,420.40
  5. Step 5: Solve for x
    x = 42,953,420.40/9,019.28
  6. Step 6: Final answer
    x = 4,762.40

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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.