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Finding the Fourth Proportional to 1,755.86, 2,423.09 and 969.91

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Solution

The fourth proportional to 1,755.86, 2,423.09 and 969.91 is: 1,338.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.86 : 2,423.09 = 969.91 : x
  2. Step 2: Convert to fraction form
    1,755.86/2,423.09 = 969.91/x
  3. Step 3: Cross multiply
    1,755.86x = 2,423.09 × 969.91
  4. Step 4: Simplify right side
    1,755.86x = 2,350,179.22
  5. Step 5: Solve for x
    x = 2,350,179.22/1,755.86
  6. Step 6: Final answer
    x = 1,338.48

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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.