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Finding the Fourth Proportional to 30,967.43, 46,447.98 and 8,480.11

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Solution

The fourth proportional to 30,967.43, 46,447.98 and 8,480.11 is: 12,719.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,967.43 : 46,447.98 = 8,480.11 : x
  2. Step 2: Convert to fraction form
    30,967.43/46,447.98 = 8,480.11/x
  3. Step 3: Cross multiply
    30,967.43x = 46,447.98 × 8,480.11
  4. Step 4: Simplify right side
    30,967.43x = 393,883,966.55
  5. Step 5: Solve for x
    x = 393,883,966.55/30,967.43
  6. Step 6: Final answer
    x = 12,719.30

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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.