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Finding the Fourth Proportional to 3,114.51, 4,671.78 and 806.01

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Solution

The fourth proportional to 3,114.51, 4,671.78 and 806.01 is: 1,209.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.51 : 4,671.78 = 806.01 : x
  2. Step 2: Convert to fraction form
    3,114.51/4,671.78 = 806.01/x
  3. Step 3: Cross multiply
    3,114.51x = 4,671.78 × 806.01
  4. Step 4: Simplify right side
    3,114.51x = 3,765,501.40
  5. Step 5: Solve for x
    x = 3,765,501.40/3,114.51
  6. Step 6: Final answer
    x = 1,209.02

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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.