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Finding the Fourth Proportional to 30,978.92, 46,442.26 and 13,435.54

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Solution

The fourth proportional to 30,978.92, 46,442.26 and 13,435.54 is: 20,141.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,978.92 : 46,442.26 = 13,435.54 : x
  2. Step 2: Convert to fraction form
    30,978.92/46,442.26 = 13,435.54/x
  3. Step 3: Cross multiply
    30,978.92x = 46,442.26 × 13,435.54
  4. Step 4: Simplify right side
    30,978.92x = 623,976,841.92
  5. Step 5: Solve for x
    x = 623,976,841.92/30,978.92
  6. Step 6: Final answer
    x = 20,141.98

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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.