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Finding the Fourth Proportional to 8,564.11, 12,839.93 and 5,783.88

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Solution

The fourth proportional to 8,564.11, 12,839.93 and 5,783.88 is: 8,671.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.11 : 12,839.93 = 5,783.88 : x
  2. Step 2: Convert to fraction form
    8,564.11/12,839.93 = 5,783.88/x
  3. Step 3: Cross multiply
    8,564.11x = 12,839.93 × 5,783.88
  4. Step 4: Simplify right side
    8,564.11x = 74,264,585.41
  5. Step 5: Solve for x
    x = 74,264,585.41/8,564.11
  6. Step 6: Final answer
    x = 8,671.61

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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.