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Finding the Fourth Proportional to 7,242.30, 9,992.70 and 4,847.94

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Solution

The fourth proportional to 7,242.30, 9,992.70 and 4,847.94 is: 6,689.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,242.30 : 9,992.70 = 4,847.94 : x
  2. Step 2: Convert to fraction form
    7,242.30/9,992.70 = 4,847.94/x
  3. Step 3: Cross multiply
    7,242.30x = 9,992.70 × 4,847.94
  4. Step 4: Simplify right side
    7,242.30x = 48,444,010.04
  5. Step 5: Solve for x
    x = 48,444,010.04/7,242.30
  6. Step 6: Final answer
    x = 6,689.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.