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Finding the Fourth Proportional to 7,111.70, 9,816.09 and 4,128.47

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Solution

The fourth proportional to 7,111.70, 9,816.09 and 4,128.47 is: 5,698.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.70 : 9,816.09 = 4,128.47 : x
  2. Step 2: Convert to fraction form
    7,111.70/9,816.09 = 4,128.47/x
  3. Step 3: Cross multiply
    7,111.70x = 9,816.09 × 4,128.47
  4. Step 4: Simplify right side
    7,111.70x = 40,525,405.33
  5. Step 5: Solve for x
    x = 40,525,405.33/7,111.70
  6. Step 6: Final answer
    x = 5,698.41

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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.