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Finding the Fourth Proportional to 11,615.36, 16,035.84 and 7,648

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Solution

The fourth proportional to 11,615.36, 16,035.84 and 7,648 is: 10,558.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,615.36 : 16,035.84 = 7,648 : x
  2. Step 2: Convert to fraction form
    11,615.36/16,035.84 = 7,648/x
  3. Step 3: Cross multiply
    11,615.36x = 16,035.84 × 7,648
  4. Step 4: Simplify right side
    11,615.36x = 122,642,104.32
  5. Step 5: Solve for x
    x = 122,642,104.32/11,615.36
  6. Step 6: Final answer
    x = 10,558.61

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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.