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Finding the Fourth Proportional to 4,986.82, 7,475.91 and 2,930.50

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Solution

The fourth proportional to 4,986.82, 7,475.91 and 2,930.50 is: 4,393.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,986.82 : 7,475.91 = 2,930.50 : x
  2. Step 2: Convert to fraction form
    4,986.82/7,475.91 = 2,930.50/x
  3. Step 3: Cross multiply
    4,986.82x = 7,475.91 × 2,930.50
  4. Step 4: Simplify right side
    4,986.82x = 21,908,154.26
  5. Step 5: Solve for x
    x = 21,908,154.26/4,986.82
  6. Step 6: Final answer
    x = 4,393.21

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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.