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Finding the Fourth Proportional to 4,765.08, 7,146.78 and 1,840.98

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Solution

The fourth proportional to 4,765.08, 7,146.78 and 1,840.98 is: 2,761.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765.08 : 7,146.78 = 1,840.98 : x
  2. Step 2: Convert to fraction form
    4,765.08/7,146.78 = 1,840.98/x
  3. Step 3: Cross multiply
    4,765.08x = 7,146.78 × 1,840.98
  4. Step 4: Simplify right side
    4,765.08x = 13,157,079.04
  5. Step 5: Solve for x
    x = 13,157,079.04/4,765.08
  6. Step 6: Final answer
    x = 2,761.15

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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.