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Finding the Fourth Proportional to 7,303.18, 10,078.42 and 4,159.38

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Solution

The fourth proportional to 7,303.18, 10,078.42 and 4,159.38 is: 5,739.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,303.18 : 10,078.42 = 4,159.38 : x
  2. Step 2: Convert to fraction form
    7,303.18/10,078.42 = 4,159.38/x
  3. Step 3: Cross multiply
    7,303.18x = 10,078.42 × 4,159.38
  4. Step 4: Simplify right side
    7,303.18x = 41,919,978.58
  5. Step 5: Solve for x
    x = 41,919,978.58/7,303.18
  6. Step 6: Final answer
    x = 5,739.96

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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.