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Finding the Fourth Proportional to 7,519, 11,278.54 and 2,047

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Solution

The fourth proportional to 7,519, 11,278.54 and 2,047 is: 3,070.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,519 : 11,278.54 = 2,047 : x
  2. Step 2: Convert to fraction form
    7,519/11,278.54 = 2,047/x
  3. Step 3: Cross multiply
    7,519x = 11,278.54 × 2,047
  4. Step 4: Simplify right side
    7,519x = 23,087,171.38
  5. Step 5: Solve for x
    x = 23,087,171.38/7,519
  6. Step 6: Final answer
    x = 3,070.51

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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.