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Finding the Fourth Proportional to 4,954, 7,428.12 and 1,665.28

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Solution

The fourth proportional to 4,954, 7,428.12 and 1,665.28 is: 2,496.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954 : 7,428.12 = 1,665.28 : x
  2. Step 2: Convert to fraction form
    4,954/7,428.12 = 1,665.28/x
  3. Step 3: Cross multiply
    4,954x = 7,428.12 × 1,665.28
  4. Step 4: Simplify right side
    4,954x = 12,369,899.67
  5. Step 5: Solve for x
    x = 12,369,899.67/4,954
  6. Step 6: Final answer
    x = 2,496.95

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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.