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Finding the Fourth Proportional to 7,615.76, 11,415 and 3,230.48

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Solution

The fourth proportional to 7,615.76, 11,415 and 3,230.48 is: 4,842.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,615.76 : 11,415 = 3,230.48 : x
  2. Step 2: Convert to fraction form
    7,615.76/11,415 = 3,230.48/x
  3. Step 3: Cross multiply
    7,615.76x = 11,415 × 3,230.48
  4. Step 4: Simplify right side
    7,615.76x = 36,875,929.20
  5. Step 5: Solve for x
    x = 36,875,929.20/7,615.76
  6. Step 6: Final answer
    x = 4,842.06

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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.