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Finding the Fourth Proportional to 6,424.76, 9,637.17 and 1,982.37

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Solution

The fourth proportional to 6,424.76, 9,637.17 and 1,982.37 is: 2,973.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.76 : 9,637.17 = 1,982.37 : x
  2. Step 2: Convert to fraction form
    6,424.76/9,637.17 = 1,982.37/x
  3. Step 3: Cross multiply
    6,424.76x = 9,637.17 × 1,982.37
  4. Step 4: Simplify right side
    6,424.76x = 19,104,436.69
  5. Step 5: Solve for x
    x = 19,104,436.69/6,424.76
  6. Step 6: Final answer
    x = 2,973.56

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Similar ratio
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1.5x scale

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.