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Finding the Fourth Proportional to 31,230.95, 46,846.28 and 7,857.39

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Solution

The fourth proportional to 31,230.95, 46,846.28 and 7,857.39 is: 11,786.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,230.95 : 46,846.28 = 7,857.39 : x
  2. Step 2: Convert to fraction form
    31,230.95/46,846.28 = 7,857.39/x
  3. Step 3: Cross multiply
    31,230.95x = 46,846.28 × 7,857.39
  4. Step 4: Simplify right side
    31,230.95x = 368,089,452.72
  5. Step 5: Solve for x
    x = 368,089,452.72/31,230.95
  6. Step 6: Final answer
    x = 11,786.05

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1.5x scale

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.