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Finding the Fourth Proportional to 2,122.51, 3,184.31 and 661.68

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Solution

The fourth proportional to 2,122.51, 3,184.31 and 661.68 is: 992.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.51 : 3,184.31 = 661.68 : x
  2. Step 2: Convert to fraction form
    2,122.51/3,184.31 = 661.68/x
  3. Step 3: Cross multiply
    2,122.51x = 3,184.31 × 661.68
  4. Step 4: Simplify right side
    2,122.51x = 2,106,994.24
  5. Step 5: Solve for x
    x = 2,106,994.24/2,122.51
  6. Step 6: Final answer
    x = 992.69

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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.