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Finding the Fourth Proportional to 2,066.51, 3,099.78 and 698.51

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Solution

The fourth proportional to 2,066.51, 3,099.78 and 698.51 is: 1,047.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.51 : 3,099.78 = 698.51 : x
  2. Step 2: Convert to fraction form
    2,066.51/3,099.78 = 698.51/x
  3. Step 3: Cross multiply
    2,066.51x = 3,099.78 × 698.51
  4. Step 4: Simplify right side
    2,066.51x = 2,165,223.84
  5. Step 5: Solve for x
    x = 2,165,223.84/2,066.51
  6. Step 6: Final answer
    x = 1,047.77

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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.