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Finding the Fourth Proportional to 9,765.56, 14,648.65 and 2,840.06

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Solution

The fourth proportional to 9,765.56, 14,648.65 and 2,840.06 is: 4,260.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.56 : 14,648.65 = 2,840.06 : x
  2. Step 2: Convert to fraction form
    9,765.56/14,648.65 = 2,840.06/x
  3. Step 3: Cross multiply
    9,765.56x = 14,648.65 × 2,840.06
  4. Step 4: Simplify right side
    9,765.56x = 41,603,074.44
  5. Step 5: Solve for x
    x = 41,603,074.44/9,765.56
  6. Step 6: Final answer
    x = 4,260.18

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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.