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Finding the Fourth Proportional to 30,978.81, 46,468.13 and 8,792.21

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Solution

The fourth proportional to 30,978.81, 46,468.13 and 8,792.21 is: 13,188.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,978.81 : 46,468.13 = 8,792.21 : x
  2. Step 2: Convert to fraction form
    30,978.81/46,468.13 = 8,792.21/x
  3. Step 3: Cross multiply
    30,978.81x = 46,468.13 × 8,792.21
  4. Step 4: Simplify right side
    30,978.81x = 408,557,372.02
  5. Step 5: Solve for x
    x = 408,557,372.02/30,978.81
  6. Step 6: Final answer
    x = 13,188.29

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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.