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Finding the Fourth Proportional to 17,519, 26,278.52 and 5,207

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Solution

The fourth proportional to 17,519, 26,278.52 and 5,207 is: 7,810.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,519 : 26,278.52 = 5,207 : x
  2. Step 2: Convert to fraction form
    17,519/26,278.52 = 5,207/x
  3. Step 3: Cross multiply
    17,519x = 26,278.52 × 5,207
  4. Step 4: Simplify right side
    17,519x = 136,832,253.64
  5. Step 5: Solve for x
    x = 136,832,253.64/17,519
  6. Step 6: Final answer
    x = 7,810.51

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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.