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Finding the Fourth Proportional to 27,662.80, 41,507.70 and 12,864.10

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Solution

The fourth proportional to 27,662.80, 41,507.70 and 12,864.10 is: 19,302.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,662.80 : 41,507.70 = 12,864.10 : x
  2. Step 2: Convert to fraction form
    27,662.80/41,507.70 = 12,864.10/x
  3. Step 3: Cross multiply
    27,662.80x = 41,507.70 × 12,864.10
  4. Step 4: Simplify right side
    27,662.80x = 533,959,203.57
  5. Step 5: Solve for x
    x = 533,959,203.57/27,662.80
  6. Step 6: Final answer
    x = 19,302.43

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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.