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Finding the Fourth Proportional to 9,968, 13,755.85 and 5,778.68

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Solution

The fourth proportional to 9,968, 13,755.85 and 5,778.68 is: 7,974.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,968 : 13,755.85 = 5,778.68 : x
  2. Step 2: Convert to fraction form
    9,968/13,755.85 = 5,778.68/x
  3. Step 3: Cross multiply
    9,968x = 13,755.85 × 5,778.68
  4. Step 4: Simplify right side
    9,968x = 79,490,655.28
  5. Step 5: Solve for x
    x = 79,490,655.28/9,968
  6. Step 6: Final answer
    x = 7,974.58

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1.5x scale

Why These Related Problems?

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