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Finding the Fourth Proportional to 3,660.51, 5,051.51 and 1,981.94

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Solution

The fourth proportional to 3,660.51, 5,051.51 and 1,981.94 is: 2,735.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.51 : 5,051.51 = 1,981.94 : x
  2. Step 2: Convert to fraction form
    3,660.51/5,051.51 = 1,981.94/x
  3. Step 3: Cross multiply
    3,660.51x = 5,051.51 × 1,981.94
  4. Step 4: Simplify right side
    3,660.51x = 10,011,764.47
  5. Step 5: Solve for x
    x = 10,011,764.47/3,660.51
  6. Step 6: Final answer
    x = 2,735.07

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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.