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Finding the Fourth Proportional to 31,229, 46,840.05 and 7,855.45

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Solution

The fourth proportional to 31,229, 46,840.05 and 7,855.45 is: 11,782.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,229 : 46,840.05 = 7,855.45 : x
  2. Step 2: Convert to fraction form
    31,229/46,840.05 = 7,855.45/x
  3. Step 3: Cross multiply
    31,229x = 46,840.05 × 7,855.45
  4. Step 4: Simplify right side
    31,229x = 367,949,670.77
  5. Step 5: Solve for x
    x = 367,949,670.77/31,229
  6. Step 6: Final answer
    x = 11,782.31

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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.