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Finding the Fourth Proportional to 7,159, 9,879.60 and 4,015.84

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Solution

The fourth proportional to 7,159, 9,879.60 and 4,015.84 is: 5,541.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,159 : 9,879.60 = 4,015.84 : x
  2. Step 2: Convert to fraction form
    7,159/9,879.60 = 4,015.84/x
  3. Step 3: Cross multiply
    7,159x = 9,879.60 × 4,015.84
  4. Step 4: Simplify right side
    7,159x = 39,674,892.86
  5. Step 5: Solve for x
    x = 39,674,892.86/7,159
  6. Step 6: Final answer
    x = 5,541.96

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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.