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Finding the Fourth Proportional to 2,670.50, 4,005.20 and 1,026.48

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Solution

The fourth proportional to 2,670.50, 4,005.20 and 1,026.48 is: 1,539.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.50 : 4,005.20 = 1,026.48 : x
  2. Step 2: Convert to fraction form
    2,670.50/4,005.20 = 1,026.48/x
  3. Step 3: Cross multiply
    2,670.50x = 4,005.20 × 1,026.48
  4. Step 4: Simplify right side
    2,670.50x = 4,111,257.70
  5. Step 5: Solve for x
    x = 4,111,257.70/2,670.50
  6. Step 6: Final answer
    x = 1,539.51

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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.