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Finding the Fourth Proportional to 5,417.97, 7,478.19 and 3,429.63

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Solution

The fourth proportional to 5,417.97, 7,478.19 and 3,429.63 is: 4,733.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,417.97 : 7,478.19 = 3,429.63 : x
  2. Step 2: Convert to fraction form
    5,417.97/7,478.19 = 3,429.63/x
  3. Step 3: Cross multiply
    5,417.97x = 7,478.19 × 3,429.63
  4. Step 4: Simplify right side
    5,417.97x = 25,647,424.77
  5. Step 5: Solve for x
    x = 25,647,424.77/5,417.97
  6. Step 6: Final answer
    x = 4,733.77

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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.