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Finding the Fourth Proportional to 31,152.16, 46,728 and 7,778.44

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Solution

The fourth proportional to 31,152.16, 46,728 and 7,778.44 is: 11,667.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,152.16 : 46,728 = 7,778.44 : x
  2. Step 2: Convert to fraction form
    31,152.16/46,728 = 7,778.44/x
  3. Step 3: Cross multiply
    31,152.16x = 46,728 × 7,778.44
  4. Step 4: Simplify right side
    31,152.16x = 363,470,944.32
  5. Step 5: Solve for x
    x = 363,470,944.32/31,152.16
  6. Step 6: Final answer
    x = 11,667.60

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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.