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Finding the Fourth Proportional to 8,550, 12,787.94 and 5,031.62

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Solution

The fourth proportional to 8,550, 12,787.94 and 5,031.62 is: 7,525.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,550 : 12,787.94 = 5,031.62 : x
  2. Step 2: Convert to fraction form
    8,550/12,787.94 = 5,031.62/x
  3. Step 3: Cross multiply
    8,550x = 12,787.94 × 5,031.62
  4. Step 4: Simplify right side
    8,550x = 64,344,054.66
  5. Step 5: Solve for x
    x = 64,344,054.66/8,550
  6. Step 6: Final answer
    x = 7,525.62

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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.