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Finding the Fourth Proportional to 5,696.38, 8,536.80 and 4,308.58

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Solution

The fourth proportional to 5,696.38, 8,536.80 and 4,308.58 is: 6,456.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.38 : 8,536.80 = 4,308.58 : x
  2. Step 2: Convert to fraction form
    5,696.38/8,536.80 = 4,308.58/x
  3. Step 3: Cross multiply
    5,696.38x = 8,536.80 × 4,308.58
  4. Step 4: Simplify right side
    5,696.38x = 36,781,485.74
  5. Step 5: Solve for x
    x = 36,781,485.74/5,696.38
  6. Step 6: Final answer
    x = 6,456.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.