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Finding the Fourth Proportional to 9,368.40, 14,038.20 and 6,286.80

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Solution

The fourth proportional to 9,368.40, 14,038.20 and 6,286.80 is: 9,420.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,368.40 : 14,038.20 = 6,286.80 : x
  2. Step 2: Convert to fraction form
    9,368.40/14,038.20 = 6,286.80/x
  3. Step 3: Cross multiply
    9,368.40x = 14,038.20 × 6,286.80
  4. Step 4: Simplify right side
    9,368.40x = 88,255,355.76
  5. Step 5: Solve for x
    x = 88,255,355.76/9,368.40
  6. Step 6: Final answer
    x = 9,420.54

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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.