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Finding the Fourth Proportional to 30,480.42, 45,722.16 and 9,705.54

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Solution

The fourth proportional to 30,480.42, 45,722.16 and 9,705.54 is: 14,558.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,480.42 : 45,722.16 = 9,705.54 : x
  2. Step 2: Convert to fraction form
    30,480.42/45,722.16 = 9,705.54/x
  3. Step 3: Cross multiply
    30,480.42x = 45,722.16 × 9,705.54
  4. Step 4: Simplify right side
    30,480.42x = 443,758,252.77
  5. Step 5: Solve for x
    x = 443,758,252.77/30,480.42
  6. Step 6: Final answer
    x = 14,558.80

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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.