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Finding the Fourth Proportional to 7,746.28, 10,690.09 and 4,389.09

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Solution

The fourth proportional to 7,746.28, 10,690.09 and 4,389.09 is: 6,057.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,746.28 : 10,690.09 = 4,389.09 : x
  2. Step 2: Convert to fraction form
    7,746.28/10,690.09 = 4,389.09/x
  3. Step 3: Cross multiply
    7,746.28x = 10,690.09 × 4,389.09
  4. Step 4: Simplify right side
    7,746.28x = 46,919,756.15
  5. Step 5: Solve for x
    x = 46,919,756.15/7,746.28
  6. Step 6: Final answer
    x = 6,057.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.