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Finding the Fourth Proportional to 7,765.32, 11,648.88 and 2,837.28

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Solution

The fourth proportional to 7,765.32, 11,648.88 and 2,837.28 is: 4,256.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.32 : 11,648.88 = 2,837.28 : x
  2. Step 2: Convert to fraction form
    7,765.32/11,648.88 = 2,837.28/x
  3. Step 3: Cross multiply
    7,765.32x = 11,648.88 × 2,837.28
  4. Step 4: Simplify right side
    7,765.32x = 33,051,134.25
  5. Step 5: Solve for x
    x = 33,051,134.25/7,765.32
  6. Step 6: Final answer
    x = 4,256.25

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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.