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Finding the Fourth Proportional to 7,201, 9,940.71 and 5,078.26

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Solution

The fourth proportional to 7,201, 9,940.71 and 5,078.26 is: 7,010.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201 : 9,940.71 = 5,078.26 : x
  2. Step 2: Convert to fraction form
    7,201/9,940.71 = 5,078.26/x
  3. Step 3: Cross multiply
    7,201x = 9,940.71 × 5,078.26
  4. Step 4: Simplify right side
    7,201x = 50,481,509.96
  5. Step 5: Solve for x
    x = 50,481,509.96/7,201
  6. Step 6: Final answer
    x = 7,010.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.