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Finding the Fourth Proportional to 9,274.91, 12,791.93 and 8,153.47

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Solution

The fourth proportional to 9,274.91, 12,791.93 and 8,153.47 is: 11,245.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.91 : 12,791.93 = 8,153.47 : x
  2. Step 2: Convert to fraction form
    9,274.91/12,791.93 = 8,153.47/x
  3. Step 3: Cross multiply
    9,274.91x = 12,791.93 × 8,153.47
  4. Step 4: Simplify right side
    9,274.91x = 104,298,617.50
  5. Step 5: Solve for x
    x = 104,298,617.50/9,274.91
  6. Step 6: Final answer
    x = 11,245.24

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1.5x scale

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.