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Finding the Fourth Proportional to 30,762, 46,138.32 and 8,573.04

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Solution

The fourth proportional to 30,762, 46,138.32 and 8,573.04 is: 12,858.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,762 : 46,138.32 = 8,573.04 : x
  2. Step 2: Convert to fraction form
    30,762/46,138.32 = 8,573.04/x
  3. Step 3: Cross multiply
    30,762x = 46,138.32 × 8,573.04
  4. Step 4: Simplify right side
    30,762x = 395,545,662.89
  5. Step 5: Solve for x
    x = 395,545,662.89/30,762
  6. Step 6: Final answer
    x = 12,858.26

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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.