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Finding the Fourth Proportional to 8,605.43, 11,874.51 and 4,827.80

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Solution

The fourth proportional to 8,605.43, 11,874.51 and 4,827.80 is: 6,661.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,605.43 : 11,874.51 = 4,827.80 : x
  2. Step 2: Convert to fraction form
    8,605.43/11,874.51 = 4,827.80/x
  3. Step 3: Cross multiply
    8,605.43x = 11,874.51 × 4,827.80
  4. Step 4: Simplify right side
    8,605.43x = 57,327,789.06
  5. Step 5: Solve for x
    x = 57,327,789.06/8,605.43
  6. Step 6: Final answer
    x = 6,661.82

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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.