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Finding the Fourth Proportional to 5,178.18, 7,748.57 and 4,456.46

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Solution

The fourth proportional to 5,178.18, 7,748.57 and 4,456.46 is: 6,668.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.18 : 7,748.57 = 4,456.46 : x
  2. Step 2: Convert to fraction form
    5,178.18/7,748.57 = 4,456.46/x
  3. Step 3: Cross multiply
    5,178.18x = 7,748.57 × 4,456.46
  4. Step 4: Simplify right side
    5,178.18x = 34,531,192.26
  5. Step 5: Solve for x
    x = 34,531,192.26/5,178.18
  6. Step 6: Final answer
    x = 6,668.60

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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.