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Finding the Fourth Proportional to 13,150.92, 19,728 and 5,358.72

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Solution

The fourth proportional to 13,150.92, 19,728 and 5,358.72 is: 8,038.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,150.92 : 19,728 = 5,358.72 : x
  2. Step 2: Convert to fraction form
    13,150.92/19,728 = 5,358.72/x
  3. Step 3: Cross multiply
    13,150.92x = 19,728 × 5,358.72
  4. Step 4: Simplify right side
    13,150.92x = 105,716,828.16
  5. Step 5: Solve for x
    x = 105,716,828.16/13,150.92
  6. Step 6: Final answer
    x = 8,038.74

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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.