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Finding the Fourth Proportional to 9,341.40, 12,891.48 and 5,755.63

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Solution

The fourth proportional to 9,341.40, 12,891.48 and 5,755.63 is: 7,942.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,341.40 : 12,891.48 = 5,755.63 : x
  2. Step 2: Convert to fraction form
    9,341.40/12,891.48 = 5,755.63/x
  3. Step 3: Cross multiply
    9,341.40x = 12,891.48 × 5,755.63
  4. Step 4: Simplify right side
    9,341.40x = 74,198,589.03
  5. Step 5: Solve for x
    x = 74,198,589.03/9,341.40
  6. Step 6: Final answer
    x = 7,942.98

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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.