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Finding the Fourth Proportional to 28,980, 43,470 and 8,203.50

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Solution

The fourth proportional to 28,980, 43,470 and 8,203.50 is: 12,305.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,980 : 43,470 = 8,203.50 : x
  2. Step 2: Convert to fraction form
    28,980/43,470 = 8,203.50/x
  3. Step 3: Cross multiply
    28,980x = 43,470 × 8,203.50
  4. Step 4: Simplify right side
    28,980x = 356,606,145
  5. Step 5: Solve for x
    x = 356,606,145/28,980
  6. Step 6: Final answer
    x = 12,305.25

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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.