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Finding the Fourth Proportional to 30,978.96, 46,468.23 and 8,792.35

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Solution

The fourth proportional to 30,978.96, 46,468.23 and 8,792.35 is: 13,188.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,978.96 : 46,468.23 = 8,792.35 : x
  2. Step 2: Convert to fraction form
    30,978.96/46,468.23 = 8,792.35/x
  3. Step 3: Cross multiply
    30,978.96x = 46,468.23 × 8,792.35
  4. Step 4: Simplify right side
    30,978.96x = 408,564,942.04
  5. Step 5: Solve for x
    x = 408,564,942.04/30,978.96
  6. Step 6: Final answer
    x = 13,188.47

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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.