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Finding the Fourth Proportional to 12,803, 19,204.50 and 3,075

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Solution

The fourth proportional to 12,803, 19,204.50 and 3,075 is: 4,612.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,803 : 19,204.50 = 3,075 : x
  2. Step 2: Convert to fraction form
    12,803/19,204.50 = 3,075/x
  3. Step 3: Cross multiply
    12,803x = 19,204.50 × 3,075
  4. Step 4: Simplify right side
    12,803x = 59,053,837.50
  5. Step 5: Solve for x
    x = 59,053,837.50/12,803
  6. Step 6: Final answer
    x = 4,612.50

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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.