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Finding the Fourth Proportional to 6,984, 9,637.94 and 3,840.21

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Solution

The fourth proportional to 6,984, 9,637.94 and 3,840.21 is: 5,299.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984 : 9,637.94 = 3,840.21 : x
  2. Step 2: Convert to fraction form
    6,984/9,637.94 = 3,840.21/x
  3. Step 3: Cross multiply
    6,984x = 9,637.94 × 3,840.21
  4. Step 4: Simplify right side
    6,984x = 37,011,713.57
  5. Step 5: Solve for x
    x = 37,011,713.57/6,984
  6. Step 6: Final answer
    x = 5,299.50

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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.