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Finding the Fourth Proportional to 1,400.22, 1,927.73 and 1,330.97

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Solution

The fourth proportional to 1,400.22, 1,927.73 and 1,330.97 is: 1,832.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.22 : 1,927.73 = 1,330.97 : x
  2. Step 2: Convert to fraction form
    1,400.22/1,927.73 = 1,330.97/x
  3. Step 3: Cross multiply
    1,400.22x = 1,927.73 × 1,330.97
  4. Step 4: Simplify right side
    1,400.22x = 2,565,744.49
  5. Step 5: Solve for x
    x = 2,565,744.49/1,400.22
  6. Step 6: Final answer
    x = 1,832.39

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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.