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Finding the Fourth Proportional to 30,900.96, 46,351.44 and 12,420

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Solution

The fourth proportional to 30,900.96, 46,351.44 and 12,420 is: 18,630.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,900.96 : 46,351.44 = 12,420 : x
  2. Step 2: Convert to fraction form
    30,900.96/46,351.44 = 12,420/x
  3. Step 3: Cross multiply
    30,900.96x = 46,351.44 × 12,420
  4. Step 4: Simplify right side
    30,900.96x = 575,684,884.80
  5. Step 5: Solve for x
    x = 575,684,884.80/30,900.96
  6. Step 6: Final answer
    x = 18,630.00

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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.