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Finding the Fourth Proportional to 7,804.40, 10,769.64 and 5,938.16

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Solution

The fourth proportional to 7,804.40, 10,769.64 and 5,938.16 is: 8,194.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.40 : 10,769.64 = 5,938.16 : x
  2. Step 2: Convert to fraction form
    7,804.40/10,769.64 = 5,938.16/x
  3. Step 3: Cross multiply
    7,804.40x = 10,769.64 × 5,938.16
  4. Step 4: Simplify right side
    7,804.40x = 63,951,845.46
  5. Step 5: Solve for x
    x = 63,951,845.46/7,804.40
  6. Step 6: Final answer
    x = 8,194.33

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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.