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Finding the Fourth Proportional to 30,822.78, 46,231.88 and 14,978.88

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Solution

The fourth proportional to 30,822.78, 46,231.88 and 14,978.88 is: 22,467.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,822.78 : 46,231.88 = 14,978.88 : x
  2. Step 2: Convert to fraction form
    30,822.78/46,231.88 = 14,978.88/x
  3. Step 3: Cross multiply
    30,822.78x = 46,231.88 × 14,978.88
  4. Step 4: Simplify right side
    30,822.78x = 692,501,782.69
  5. Step 5: Solve for x
    x = 692,501,782.69/30,822.78
  6. Step 6: Final answer
    x = 22,467.21

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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.