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Finding the Fourth Proportional to 9,783.48, 14,673.78 and 3,214.92

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Solution

The fourth proportional to 9,783.48, 14,673.78 and 3,214.92 is: 4,821.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.48 : 14,673.78 = 3,214.92 : x
  2. Step 2: Convert to fraction form
    9,783.48/14,673.78 = 3,214.92/x
  3. Step 3: Cross multiply
    9,783.48x = 14,673.78 × 3,214.92
  4. Step 4: Simplify right side
    9,783.48x = 47,175,028.80
  5. Step 5: Solve for x
    x = 47,175,028.80/9,783.48
  6. Step 6: Final answer
    x = 4,821.91

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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.