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Finding the Fourth Proportional to 1,400.32, 1,933.44 and 935.68

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Solution

The fourth proportional to 1,400.32, 1,933.44 and 935.68 is: 1,291.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.32 : 1,933.44 = 935.68 : x
  2. Step 2: Convert to fraction form
    1,400.32/1,933.44 = 935.68/x
  3. Step 3: Cross multiply
    1,400.32x = 1,933.44 × 935.68
  4. Step 4: Simplify right side
    1,400.32x = 1,809,081.14
  5. Step 5: Solve for x
    x = 1,809,081.14/1,400.32
  6. Step 6: Final answer
    x = 1,291.91

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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.