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Finding the Fourth Proportional to 44,013, 66,019.50 and 19,389

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Solution

The fourth proportional to 44,013, 66,019.50 and 19,389 is: 29,083.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,013 : 66,019.50 = 19,389 : x
  2. Step 2: Convert to fraction form
    44,013/66,019.50 = 19,389/x
  3. Step 3: Cross multiply
    44,013x = 66,019.50 × 19,389
  4. Step 4: Simplify right side
    44,013x = 1,280,052,085.50
  5. Step 5: Solve for x
    x = 1,280,052,085.50/44,013
  6. Step 6: Final answer
    x = 29,083.50

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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.