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Finding the Fourth Proportional to 4,506.51, 6,760.83 and 1,428.51

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Solution

The fourth proportional to 4,506.51, 6,760.83 and 1,428.51 is: 2,143.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,506.51 : 6,760.83 = 1,428.51 : x
  2. Step 2: Convert to fraction form
    4,506.51/6,760.83 = 1,428.51/x
  3. Step 3: Cross multiply
    4,506.51x = 6,760.83 × 1,428.51
  4. Step 4: Simplify right side
    4,506.51x = 9,657,906.12
  5. Step 5: Solve for x
    x = 9,657,906.12/4,506.51
  6. Step 6: Final answer
    x = 2,143.10

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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.