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Finding the Fourth Proportional to 7,190.86, 9,923.36 and 4,047.06

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Solution

The fourth proportional to 7,190.86, 9,923.36 and 4,047.06 is: 5,584.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,190.86 : 9,923.36 = 4,047.06 : x
  2. Step 2: Convert to fraction form
    7,190.86/9,923.36 = 4,047.06/x
  3. Step 3: Cross multiply
    7,190.86x = 9,923.36 × 4,047.06
  4. Step 4: Simplify right side
    7,190.86x = 40,160,433.32
  5. Step 5: Solve for x
    x = 40,160,433.32/7,190.86
  6. Step 6: Final answer
    x = 5,584.93

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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.