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Finding the Fourth Proportional to 13,455.20, 18,568 and 7,790.72

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Solution

The fourth proportional to 13,455.20, 18,568 and 7,790.72 is: 10,751.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,455.20 : 18,568 = 7,790.72 : x
  2. Step 2: Convert to fraction form
    13,455.20/18,568 = 7,790.72/x
  3. Step 3: Cross multiply
    13,455.20x = 18,568 × 7,790.72
  4. Step 4: Simplify right side
    13,455.20x = 144,658,088.96
  5. Step 5: Solve for x
    x = 144,658,088.96/13,455.20
  6. Step 6: Final answer
    x = 10,751.09

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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.