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Finding the Fourth Proportional to 7,230.51, 9,977.85 and 4,086.63

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Solution

The fourth proportional to 7,230.51, 9,977.85 and 4,086.63 is: 5,639.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,230.51 : 9,977.85 = 4,086.63 : x
  2. Step 2: Convert to fraction form
    7,230.51/9,977.85 = 4,086.63/x
  3. Step 3: Cross multiply
    7,230.51x = 9,977.85 × 4,086.63
  4. Step 4: Simplify right side
    7,230.51x = 40,775,781.15
  5. Step 5: Solve for x
    x = 40,775,781.15/7,230.51
  6. Step 6: Final answer
    x = 5,639.41

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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.