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Finding the Fourth Proportional to 5,297.36, 7,946.40 and 2,698.88

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Solution

The fourth proportional to 5,297.36, 7,946.40 and 2,698.88 is: 4,048.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.36 : 7,946.40 = 2,698.88 : x
  2. Step 2: Convert to fraction form
    5,297.36/7,946.40 = 2,698.88/x
  3. Step 3: Cross multiply
    5,297.36x = 7,946.40 × 2,698.88
  4. Step 4: Simplify right side
    5,297.36x = 21,446,380.03
  5. Step 5: Solve for x
    x = 21,446,380.03/5,297.36
  6. Step 6: Final answer
    x = 4,048.50

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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.