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Finding the Fourth Proportional to 7,855.76, 10,842.48 and 5,203.28

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Solution

The fourth proportional to 7,855.76, 10,842.48 and 5,203.28 is: 7,181.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.76 : 10,842.48 = 5,203.28 : x
  2. Step 2: Convert to fraction form
    7,855.76/10,842.48 = 5,203.28/x
  3. Step 3: Cross multiply
    7,855.76x = 10,842.48 × 5,203.28
  4. Step 4: Simplify right side
    7,855.76x = 56,416,459.33
  5. Step 5: Solve for x
    x = 56,416,459.33/7,855.76
  6. Step 6: Final answer
    x = 7,181.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.