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Finding the Fourth Proportional to 6,983.97, 9,637.92 and 3,840.18

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Solution

The fourth proportional to 6,983.97, 9,637.92 and 3,840.18 is: 5,299.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,983.97 : 9,637.92 = 3,840.18 : x
  2. Step 2: Convert to fraction form
    6,983.97/9,637.92 = 3,840.18/x
  3. Step 3: Cross multiply
    6,983.97x = 9,637.92 × 3,840.18
  4. Step 4: Simplify right side
    6,983.97x = 37,011,347.63
  5. Step 5: Solve for x
    x = 37,011,347.63/6,983.97
  6. Step 6: Final answer
    x = 5,299.47

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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.