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Finding the Fourth Proportional to 6,590, 9,885 and 1,973

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Solution

The fourth proportional to 6,590, 9,885 and 1,973 is: 2,959.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590 : 9,885 = 1,973 : x
  2. Step 2: Convert to fraction form
    6,590/9,885 = 1,973/x
  3. Step 3: Cross multiply
    6,590x = 9,885 × 1,973
  4. Step 4: Simplify right side
    6,590x = 19,503,105
  5. Step 5: Solve for x
    x = 19,503,105/6,590
  6. Step 6: Final answer
    x = 2,959.50

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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.