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Finding the Fourth Proportional to 5,267.60, 7,879.80 and 4,749.20

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Solution

The fourth proportional to 5,267.60, 7,879.80 and 4,749.20 is: 7,104.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,267.60 : 7,879.80 = 4,749.20 : x
  2. Step 2: Convert to fraction form
    5,267.60/7,879.80 = 4,749.20/x
  3. Step 3: Cross multiply
    5,267.60x = 7,879.80 × 4,749.20
  4. Step 4: Simplify right side
    5,267.60x = 37,422,746.16
  5. Step 5: Solve for x
    x = 37,422,746.16/5,267.60
  6. Step 6: Final answer
    x = 7,104.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.