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Finding the Fourth Proportional to 8,287.88, 11,436 and 4,929.54

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Solution

The fourth proportional to 8,287.88, 11,436 and 4,929.54 is: 6,802.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.88 : 11,436 = 4,929.54 : x
  2. Step 2: Convert to fraction form
    8,287.88/11,436 = 4,929.54/x
  3. Step 3: Cross multiply
    8,287.88x = 11,436 × 4,929.54
  4. Step 4: Simplify right side
    8,287.88x = 56,374,219.44
  5. Step 5: Solve for x
    x = 56,374,219.44/8,287.88
  6. Step 6: Final answer
    x = 6,802.01

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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.