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Finding the Fourth Proportional to 5,756.56, 8,629.28 and 1,858.32

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Solution

The fourth proportional to 5,756.56, 8,629.28 and 1,858.32 is: 2,785.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.56 : 8,629.28 = 1,858.32 : x
  2. Step 2: Convert to fraction form
    5,756.56/8,629.28 = 1,858.32/x
  3. Step 3: Cross multiply
    5,756.56x = 8,629.28 × 1,858.32
  4. Step 4: Simplify right side
    5,756.56x = 16,035,963.61
  5. Step 5: Solve for x
    x = 16,035,963.61/5,756.56
  6. Step 6: Final answer
    x = 2,785.69

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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.