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Finding the Fourth Proportional to 2,670.40, 4,005.60 and 2,651.20

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Solution

The fourth proportional to 2,670.40, 4,005.60 and 2,651.20 is: 3,976.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.40 : 4,005.60 = 2,651.20 : x
  2. Step 2: Convert to fraction form
    2,670.40/4,005.60 = 2,651.20/x
  3. Step 3: Cross multiply
    2,670.40x = 4,005.60 × 2,651.20
  4. Step 4: Simplify right side
    2,670.40x = 10,619,646.72
  5. Step 5: Solve for x
    x = 10,619,646.72/2,670.40
  6. Step 6: Final answer
    x = 3,976.80

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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.