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Finding the Fourth Proportional to 6,289, 9,437.82 and 2,185

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Solution

The fourth proportional to 6,289, 9,437.82 and 2,185 is: 3,279.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289 : 9,437.82 = 2,185 : x
  2. Step 2: Convert to fraction form
    6,289/9,437.82 = 2,185/x
  3. Step 3: Cross multiply
    6,289x = 9,437.82 × 2,185
  4. Step 4: Simplify right side
    6,289x = 20,621,636.70
  5. Step 5: Solve for x
    x = 20,621,636.70/6,289
  6. Step 6: Final answer
    x = 3,279.00

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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.