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Finding the Fourth Proportional to 3,072.66, 4,606.62 and 1,428

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Solution

The fourth proportional to 3,072.66, 4,606.62 and 1,428 is: 2,140.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.66 : 4,606.62 = 1,428 : x
  2. Step 2: Convert to fraction form
    3,072.66/4,606.62 = 1,428/x
  3. Step 3: Cross multiply
    3,072.66x = 4,606.62 × 1,428
  4. Step 4: Simplify right side
    3,072.66x = 6,578,253.36
  5. Step 5: Solve for x
    x = 6,578,253.36/3,072.66
  6. Step 6: Final answer
    x = 2,140.90

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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.