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Finding the Fourth Proportional to 13,210.80, 19,803.86 and 6,629.28

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Solution

The fourth proportional to 13,210.80, 19,803.86 and 6,629.28 is: 9,937.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,210.80 : 19,803.86 = 6,629.28 : x
  2. Step 2: Convert to fraction form
    13,210.80/19,803.86 = 6,629.28/x
  3. Step 3: Cross multiply
    13,210.80x = 19,803.86 × 6,629.28
  4. Step 4: Simplify right side
    13,210.80x = 131,285,333.02
  5. Step 5: Solve for x
    x = 131,285,333.02/13,210.80
  6. Step 6: Final answer
    x = 9,937.73

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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.