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Finding the Fourth Proportional to 7,305.36, 10,078.93 and 4,159.32

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Solution

The fourth proportional to 7,305.36, 10,078.93 and 4,159.32 is: 5,738.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,305.36 : 10,078.93 = 4,159.32 : x
  2. Step 2: Convert to fraction form
    7,305.36/10,078.93 = 4,159.32/x
  3. Step 3: Cross multiply
    7,305.36x = 10,078.93 × 4,159.32
  4. Step 4: Simplify right side
    7,305.36x = 41,921,434.33
  5. Step 5: Solve for x
    x = 41,921,434.33/7,305.36
  6. Step 6: Final answer
    x = 5,738.45

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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.