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Finding the Fourth Proportional to 29,828, 44,742.36 and 13,412

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Solution

The fourth proportional to 29,828, 44,742.36 and 13,412 is: 20,118.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,828 : 44,742.36 = 13,412 : x
  2. Step 2: Convert to fraction form
    29,828/44,742.36 = 13,412/x
  3. Step 3: Cross multiply
    29,828x = 44,742.36 × 13,412
  4. Step 4: Simplify right side
    29,828x = 600,084,532.32
  5. Step 5: Solve for x
    x = 600,084,532.32/29,828
  6. Step 6: Final answer
    x = 20,118.16

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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.