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Finding the Fourth Proportional to 9,151.68, 13,730.88 and 3,887.84

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Solution

The fourth proportional to 9,151.68, 13,730.88 and 3,887.84 is: 5,833.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.68 : 13,730.88 = 3,887.84 : x
  2. Step 2: Convert to fraction form
    9,151.68/13,730.88 = 3,887.84/x
  3. Step 3: Cross multiply
    9,151.68x = 13,730.88 × 3,887.84
  4. Step 4: Simplify right side
    9,151.68x = 53,383,464.50
  5. Step 5: Solve for x
    x = 53,383,464.50/9,151.68
  6. Step 6: Final answer
    x = 5,833.19

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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.