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Finding the Fourth Proportional to 6,297.70, 9,438.80 and 2,783.92

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Solution

The fourth proportional to 6,297.70, 9,438.80 and 2,783.92 is: 4,172.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.70 : 9,438.80 = 2,783.92 : x
  2. Step 2: Convert to fraction form
    6,297.70/9,438.80 = 2,783.92/x
  3. Step 3: Cross multiply
    6,297.70x = 9,438.80 × 2,783.92
  4. Step 4: Simplify right side
    6,297.70x = 26,276,802.98
  5. Step 5: Solve for x
    x = 26,276,802.98/6,297.70
  6. Step 6: Final answer
    x = 4,172.45

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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.