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Finding the Fourth Proportional to 30,978.40, 46,468.58 and 14,745.96

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Solution

The fourth proportional to 30,978.40, 46,468.58 and 14,745.96 is: 22,119.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,978.40 : 46,468.58 = 14,745.96 : x
  2. Step 2: Convert to fraction form
    30,978.40/46,468.58 = 14,745.96/x
  3. Step 3: Cross multiply
    30,978.40x = 46,468.58 × 14,745.96
  4. Step 4: Simplify right side
    30,978.40x = 685,223,821.94
  5. Step 5: Solve for x
    x = 685,223,821.94/30,978.40
  6. Step 6: Final answer
    x = 22,119.41

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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.