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Finding the Fourth Proportional to 2,158.64, 3,237.96 and 2,053.72

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Solution

The fourth proportional to 2,158.64, 3,237.96 and 2,053.72 is: 3,080.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.64 : 3,237.96 = 2,053.72 : x
  2. Step 2: Convert to fraction form
    2,158.64/3,237.96 = 2,053.72/x
  3. Step 3: Cross multiply
    2,158.64x = 3,237.96 × 2,053.72
  4. Step 4: Simplify right side
    2,158.64x = 6,649,863.21
  5. Step 5: Solve for x
    x = 6,649,863.21/2,158.64
  6. Step 6: Final answer
    x = 3,080.58

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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.