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Finding the Fourth Proportional to 5,630.72, 8,442.50 and 4,938.77

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Solution

The fourth proportional to 5,630.72, 8,442.50 and 4,938.77 is: 7,405.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.72 : 8,442.50 = 4,938.77 : x
  2. Step 2: Convert to fraction form
    5,630.72/8,442.50 = 4,938.77/x
  3. Step 3: Cross multiply
    5,630.72x = 8,442.50 × 4,938.77
  4. Step 4: Simplify right side
    5,630.72x = 41,695,562.14
  5. Step 5: Solve for x
    x = 41,695,562.14/5,630.72
  6. Step 6: Final answer
    x = 7,405.02

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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.