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Finding the Fourth Proportional to 30,849.60, 46,291.20 and 16,808.80

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Solution

The fourth proportional to 30,849.60, 46,291.20 and 16,808.80 is: 25,222.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,849.60 : 46,291.20 = 16,808.80 : x
  2. Step 2: Convert to fraction form
    30,849.60/46,291.20 = 16,808.80/x
  3. Step 3: Cross multiply
    30,849.60x = 46,291.20 × 16,808.80
  4. Step 4: Simplify right side
    30,849.60x = 778,099,522.56
  5. Step 5: Solve for x
    x = 778,099,522.56/30,849.60
  6. Step 6: Final answer
    x = 25,222.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.