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Finding the Fourth Proportional to 2,648.47, 3,972.94 and 700.68

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Solution

The fourth proportional to 2,648.47, 3,972.94 and 700.68 is: 1,051.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.47 : 3,972.94 = 700.68 : x
  2. Step 2: Convert to fraction form
    2,648.47/3,972.94 = 700.68/x
  3. Step 3: Cross multiply
    2,648.47x = 3,972.94 × 700.68
  4. Step 4: Simplify right side
    2,648.47x = 2,783,739.73
  5. Step 5: Solve for x
    x = 2,783,739.73/2,648.47
  6. Step 6: Final answer
    x = 1,051.07

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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.