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Finding the Fourth Proportional to 9,728.76, 14,598 and 3,890.28

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Solution

The fourth proportional to 9,728.76, 14,598 and 3,890.28 is: 5,837.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.76 : 14,598 = 3,890.28 : x
  2. Step 2: Convert to fraction form
    9,728.76/14,598 = 3,890.28/x
  3. Step 3: Cross multiply
    9,728.76x = 14,598 × 3,890.28
  4. Step 4: Simplify right side
    9,728.76x = 56,790,307.44
  5. Step 5: Solve for x
    x = 56,790,307.44/9,728.76
  6. Step 6: Final answer
    x = 5,837.36

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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.