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Finding the Fourth Proportional to 19,800, 29,703.12 and 9,408.24

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Solution

The fourth proportional to 19,800, 29,703.12 and 9,408.24 is: 14,113.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,800 : 29,703.12 = 9,408.24 : x
  2. Step 2: Convert to fraction form
    19,800/29,703.12 = 9,408.24/x
  3. Step 3: Cross multiply
    19,800x = 29,703.12 × 9,408.24
  4. Step 4: Simplify right side
    19,800x = 279,454,081.71
  5. Step 5: Solve for x
    x = 279,454,081.71/19,800
  6. Step 6: Final answer
    x = 14,113.84

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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.