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Finding the Fourth Proportional to 5,224.69, 7,840.10 and 1,940.05

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Solution

The fourth proportional to 5,224.69, 7,840.10 and 1,940.05 is: 2,911.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.69 : 7,840.10 = 1,940.05 : x
  2. Step 2: Convert to fraction form
    5,224.69/7,840.10 = 1,940.05/x
  3. Step 3: Cross multiply
    5,224.69x = 7,840.10 × 1,940.05
  4. Step 4: Simplify right side
    5,224.69x = 15,210,186.01
  5. Step 5: Solve for x
    x = 15,210,186.01/5,224.69
  6. Step 6: Final answer
    x = 2,911.21

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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.