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Finding the Fourth Proportional to 14,108.96, 19,469.44 and 7,821.12

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Solution

The fourth proportional to 14,108.96, 19,469.44 and 7,821.12 is: 10,792.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,108.96 : 19,469.44 = 7,821.12 : x
  2. Step 2: Convert to fraction form
    14,108.96/19,469.44 = 7,821.12/x
  3. Step 3: Cross multiply
    14,108.96x = 19,469.44 × 7,821.12
  4. Step 4: Simplify right side
    14,108.96x = 152,272,826.57
  5. Step 5: Solve for x
    x = 152,272,826.57/14,108.96
  6. Step 6: Final answer
    x = 10,792.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.