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Finding the Fourth Proportional to 6,656.77, 9,986.69 and 1,976.68

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Solution

The fourth proportional to 6,656.77, 9,986.69 and 1,976.68 is: 2,965.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656.77 : 9,986.69 = 1,976.68 : x
  2. Step 2: Convert to fraction form
    6,656.77/9,986.69 = 1,976.68/x
  3. Step 3: Cross multiply
    6,656.77x = 9,986.69 × 1,976.68
  4. Step 4: Simplify right side
    6,656.77x = 19,740,440.46
  5. Step 5: Solve for x
    x = 19,740,440.46/6,656.77
  6. Step 6: Final answer
    x = 2,965.47

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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.