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Finding the Fourth Proportional to 30,053.27, 45,084.01 and 12,519

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Solution

The fourth proportional to 30,053.27, 45,084.01 and 12,519 is: 18,780.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,053.27 : 45,084.01 = 12,519 : x
  2. Step 2: Convert to fraction form
    30,053.27/45,084.01 = 12,519/x
  3. Step 3: Cross multiply
    30,053.27x = 45,084.01 × 12,519
  4. Step 4: Simplify right side
    30,053.27x = 564,406,713.37
  5. Step 5: Solve for x
    x = 564,406,713.37/30,053.27
  6. Step 6: Final answer
    x = 18,780.21

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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.