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Finding the Fourth Proportional to 6,821.05, 9,409.87 and 4,430.86

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Solution

The fourth proportional to 6,821.05, 9,409.87 and 4,430.86 is: 6,112.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.05 : 9,409.87 = 4,430.86 : x
  2. Step 2: Convert to fraction form
    6,821.05/9,409.87 = 4,430.86/x
  3. Step 3: Cross multiply
    6,821.05x = 9,409.87 × 4,430.86
  4. Step 4: Simplify right side
    6,821.05x = 41,693,816.59
  5. Step 5: Solve for x
    x = 41,693,816.59/6,821.05
  6. Step 6: Final answer
    x = 6,112.52

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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.