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Finding the Fourth Proportional to 5,470.77, 7,550.31 and 3,113.28

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Solution

The fourth proportional to 5,470.77, 7,550.31 and 3,113.28 is: 4,296.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.77 : 7,550.31 = 3,113.28 : x
  2. Step 2: Convert to fraction form
    5,470.77/7,550.31 = 3,113.28/x
  3. Step 3: Cross multiply
    5,470.77x = 7,550.31 × 3,113.28
  4. Step 4: Simplify right side
    5,470.77x = 23,506,229.12
  5. Step 5: Solve for x
    x = 23,506,229.12/5,470.77
  6. Step 6: Final answer
    x = 4,296.69

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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.