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Finding the Fourth Proportional to 9,120.54, 13,682.16 and 2,879.88

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Solution

The fourth proportional to 9,120.54, 13,682.16 and 2,879.88 is: 4,320.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,120.54 : 13,682.16 = 2,879.88 : x
  2. Step 2: Convert to fraction form
    9,120.54/13,682.16 = 2,879.88/x
  3. Step 3: Cross multiply
    9,120.54x = 13,682.16 × 2,879.88
  4. Step 4: Simplify right side
    9,120.54x = 39,402,978.94
  5. Step 5: Solve for x
    x = 39,402,978.94/9,120.54
  6. Step 6: Final answer
    x = 4,320.25

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1.5x scale

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.