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Finding the Fourth Proportional to 5,432.48, 8,178.20 and 4,868

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Solution

The fourth proportional to 5,432.48, 8,178.20 and 4,868 is: 7,328.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,432.48 : 8,178.20 = 4,868 : x
  2. Step 2: Convert to fraction form
    5,432.48/8,178.20 = 4,868/x
  3. Step 3: Cross multiply
    5,432.48x = 8,178.20 × 4,868
  4. Step 4: Simplify right side
    5,432.48x = 39,811,477.60
  5. Step 5: Solve for x
    x = 39,811,477.60/5,432.48
  6. Step 6: Final answer
    x = 7,328.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.