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Finding the Fourth Proportional to 5,297.50, 7,946.26 and 2,219.50

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Solution

The fourth proportional to 5,297.50, 7,946.26 and 2,219.50 is: 3,329.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.50 : 7,946.26 = 2,219.50 : x
  2. Step 2: Convert to fraction form
    5,297.50/7,946.26 = 2,219.50/x
  3. Step 3: Cross multiply
    5,297.50x = 7,946.26 × 2,219.50
  4. Step 4: Simplify right side
    5,297.50x = 17,636,724.07
  5. Step 5: Solve for x
    x = 17,636,724.07/5,297.50
  6. Step 6: Final answer
    x = 3,329.25

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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.