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Finding the Fourth Proportional to 5,682.76, 8,525.50 and 1,787.16

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Solution

The fourth proportional to 5,682.76, 8,525.50 and 1,787.16 is: 2,681.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.76 : 8,525.50 = 1,787.16 : x
  2. Step 2: Convert to fraction form
    5,682.76/8,525.50 = 1,787.16/x
  3. Step 3: Cross multiply
    5,682.76x = 8,525.50 × 1,787.16
  4. Step 4: Simplify right side
    5,682.76x = 15,236,470.14
  5. Step 5: Solve for x
    x = 15,236,470.14/5,682.76
  6. Step 6: Final answer
    x = 2,681.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.