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Finding the Fourth Proportional to 1,755.74, 2,422.93 and 969.76

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Solution

The fourth proportional to 1,755.74, 2,422.93 and 969.76 is: 1,338.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.74 : 2,422.93 = 969.76 : x
  2. Step 2: Convert to fraction form
    1,755.74/2,422.93 = 969.76/x
  3. Step 3: Cross multiply
    1,755.74x = 2,422.93 × 969.76
  4. Step 4: Simplify right side
    1,755.74x = 2,349,660.60
  5. Step 5: Solve for x
    x = 2,349,660.60/1,755.74
  6. Step 6: Final answer
    x = 1,338.27

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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.