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Finding the Fourth Proportional to 27,431.64, 41,147.43 and 8,963.64

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Solution

The fourth proportional to 27,431.64, 41,147.43 and 8,963.64 is: 13,445.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,431.64 : 41,147.43 = 8,963.64 : x
  2. Step 2: Convert to fraction form
    27,431.64/41,147.43 = 8,963.64/x
  3. Step 3: Cross multiply
    27,431.64x = 41,147.43 × 8,963.64
  4. Step 4: Simplify right side
    27,431.64x = 368,830,749.45
  5. Step 5: Solve for x
    x = 368,830,749.45/27,431.64
  6. Step 6: Final answer
    x = 13,445.45

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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.