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Finding the Fourth Proportional to 6,650.65, 9,977.91 and 1,970.77

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Solution

The fourth proportional to 6,650.65, 9,977.91 and 1,970.77 is: 2,956.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,650.65 : 9,977.91 = 1,970.77 : x
  2. Step 2: Convert to fraction form
    6,650.65/9,977.91 = 1,970.77/x
  3. Step 3: Cross multiply
    6,650.65x = 9,977.91 × 1,970.77
  4. Step 4: Simplify right side
    6,650.65x = 19,664,165.69
  5. Step 5: Solve for x
    x = 19,664,165.69/6,650.65
  6. Step 6: Final answer
    x = 2,956.73

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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.