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Finding the Fourth Proportional to 2,174.68, 3,000.96 and 1,230.36

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Solution

The fourth proportional to 2,174.68, 3,000.96 and 1,230.36 is: 1,697.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.68 : 3,000.96 = 1,230.36 : x
  2. Step 2: Convert to fraction form
    2,174.68/3,000.96 = 1,230.36/x
  3. Step 3: Cross multiply
    2,174.68x = 3,000.96 × 1,230.36
  4. Step 4: Simplify right side
    2,174.68x = 3,692,261.15
  5. Step 5: Solve for x
    x = 3,692,261.15/2,174.68
  6. Step 6: Final answer
    x = 1,697.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.