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Finding the Fourth Proportional to 2,154.64, 3,230.76 and 1,056.64

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Solution

The fourth proportional to 2,154.64, 3,230.76 and 1,056.64 is: 1,584.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.64 : 3,230.76 = 1,056.64 : x
  2. Step 2: Convert to fraction form
    2,154.64/3,230.76 = 1,056.64/x
  3. Step 3: Cross multiply
    2,154.64x = 3,230.76 × 1,056.64
  4. Step 4: Simplify right side
    2,154.64x = 3,413,750.25
  5. Step 5: Solve for x
    x = 3,413,750.25/2,154.64
  6. Step 6: Final answer
    x = 1,584.37

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Why These Related Problems?

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