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Finding the Fourth Proportional to 6,821.99, 10,220.81 and 3,700.00

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Solution

The fourth proportional to 6,821.99, 10,220.81 and 3,700.00 is: 5,543.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.99 : 10,220.81 = 3,700.00 : x
  2. Step 2: Convert to fraction form
    6,821.99/10,220.81 = 3,700.00/x
  3. Step 3: Cross multiply
    6,821.99x = 10,220.81 × 3,700.00
  4. Step 4: Simplify right side
    6,821.99x = 37,817,001.06
  5. Step 5: Solve for x
    x = 37,817,001.06/6,821.99
  6. Step 6: Final answer
    x = 5,543.40

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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.