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Finding the Fourth Proportional to 8,564.41, 11,818.03 and 4,978.43

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Solution

The fourth proportional to 8,564.41, 11,818.03 and 4,978.43 is: 6,869.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.41 : 11,818.03 = 4,978.43 : x
  2. Step 2: Convert to fraction form
    8,564.41/11,818.03 = 4,978.43/x
  3. Step 3: Cross multiply
    8,564.41x = 11,818.03 × 4,978.43
  4. Step 4: Simplify right side
    8,564.41x = 58,835,235.09
  5. Step 5: Solve for x
    x = 58,835,235.09/8,564.41
  6. Step 6: Final answer
    x = 6,869.74

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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.