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Finding the Fourth Proportional to 7,746.98, 10,690.43 and 4,389.84

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Solution

The fourth proportional to 7,746.98, 10,690.43 and 4,389.84 is: 6,057.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,746.98 : 10,690.43 = 4,389.84 : x
  2. Step 2: Convert to fraction form
    7,746.98/10,690.43 = 4,389.84/x
  3. Step 3: Cross multiply
    7,746.98x = 10,690.43 × 4,389.84
  4. Step 4: Simplify right side
    7,746.98x = 46,929,220.68
  5. Step 5: Solve for x
    x = 46,929,220.68/7,746.98
  6. Step 6: Final answer
    x = 6,057.74

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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.