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Finding the Fourth Proportional to 5,762.28, 7,953.18 and 3,405.72

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Solution

The fourth proportional to 5,762.28, 7,953.18 and 3,405.72 is: 4,700.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.28 : 7,953.18 = 3,405.72 : x
  2. Step 2: Convert to fraction form
    5,762.28/7,953.18 = 3,405.72/x
  3. Step 3: Cross multiply
    5,762.28x = 7,953.18 × 3,405.72
  4. Step 4: Simplify right side
    5,762.28x = 27,086,304.19
  5. Step 5: Solve for x
    x = 27,086,304.19/5,762.28
  6. Step 6: Final answer
    x = 4,700.62

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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.