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Finding the Fourth Proportional to 6,656.98, 9,985.47 and 3,145.83

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Solution

The fourth proportional to 6,656.98, 9,985.47 and 3,145.83 is: 4,718.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656.98 : 9,985.47 = 3,145.83 : x
  2. Step 2: Convert to fraction form
    6,656.98/9,985.47 = 3,145.83/x
  3. Step 3: Cross multiply
    6,656.98x = 9,985.47 × 3,145.83
  4. Step 4: Simplify right side
    6,656.98x = 31,412,591.09
  5. Step 5: Solve for x
    x = 31,412,591.09/6,656.98
  6. Step 6: Final answer
    x = 4,718.75

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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.