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Finding the Fourth Proportional to 2,102.54, 3,156.23 and 1,130.54

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Solution

The fourth proportional to 2,102.54, 3,156.23 and 1,130.54 is: 1,697.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.54 : 3,156.23 = 1,130.54 : x
  2. Step 2: Convert to fraction form
    2,102.54/3,156.23 = 1,130.54/x
  3. Step 3: Cross multiply
    2,102.54x = 3,156.23 × 1,130.54
  4. Step 4: Simplify right side
    2,102.54x = 3,568,231.31
  5. Step 5: Solve for x
    x = 3,568,231.31/2,102.54
  6. Step 6: Final answer
    x = 1,697.11

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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.