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Finding the Fourth Proportional to 12,694.83, 17,520.93 and 7,590

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Solution

The fourth proportional to 12,694.83, 17,520.93 and 7,590 is: 10,475.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,694.83 : 17,520.93 = 7,590 : x
  2. Step 2: Convert to fraction form
    12,694.83/17,520.93 = 7,590/x
  3. Step 3: Cross multiply
    12,694.83x = 17,520.93 × 7,590
  4. Step 4: Simplify right side
    12,694.83x = 132,983,858.70
  5. Step 5: Solve for x
    x = 132,983,858.70/12,694.83
  6. Step 6: Final answer
    x = 10,475.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.