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Finding the Fourth Proportional to 2,647.09, 3,970.15 and 1,003.09

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Solution

The fourth proportional to 2,647.09, 3,970.15 and 1,003.09 is: 1,504.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.09 : 3,970.15 = 1,003.09 : x
  2. Step 2: Convert to fraction form
    2,647.09/3,970.15 = 1,003.09/x
  3. Step 3: Cross multiply
    2,647.09x = 3,970.15 × 1,003.09
  4. Step 4: Simplify right side
    2,647.09x = 3,982,412.77
  5. Step 5: Solve for x
    x = 3,982,412.77/2,647.09
  6. Step 6: Final answer
    x = 1,504.45

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1.5x scale

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.