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Finding the Fourth Proportional to 6,699.36, 9,243.36 and 3,902.88

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Solution

The fourth proportional to 6,699.36, 9,243.36 and 3,902.88 is: 5,384.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,699.36 : 9,243.36 = 3,902.88 : x
  2. Step 2: Convert to fraction form
    6,699.36/9,243.36 = 3,902.88/x
  3. Step 3: Cross multiply
    6,699.36x = 9,243.36 × 3,902.88
  4. Step 4: Simplify right side
    6,699.36x = 36,075,724.88
  5. Step 5: Solve for x
    x = 36,075,724.88/6,699.36
  6. Step 6: Final answer
    x = 5,384.95

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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.