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Finding the Fourth Proportional to 4,886, 7,330.08 and 1,964.48

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Solution

The fourth proportional to 4,886, 7,330.08 and 1,964.48 is: 2,947.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,886 : 7,330.08 = 1,964.48 : x
  2. Step 2: Convert to fraction form
    4,886/7,330.08 = 1,964.48/x
  3. Step 3: Cross multiply
    4,886x = 7,330.08 × 1,964.48
  4. Step 4: Simplify right side
    4,886x = 14,399,795.56
  5. Step 5: Solve for x
    x = 14,399,795.56/4,886
  6. Step 6: Final answer
    x = 2,947.15

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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.