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Finding the Fourth Proportional to 8,388, 11,575.44 and 4,661.92

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Solution

The fourth proportional to 8,388, 11,575.44 and 4,661.92 is: 6,433.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,388 : 11,575.44 = 4,661.92 : x
  2. Step 2: Convert to fraction form
    8,388/11,575.44 = 4,661.92/x
  3. Step 3: Cross multiply
    8,388x = 11,575.44 × 4,661.92
  4. Step 4: Simplify right side
    8,388x = 53,963,775.24
  5. Step 5: Solve for x
    x = 53,963,775.24/8,388
  6. Step 6: Final answer
    x = 6,433.45

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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.