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Finding the Fourth Proportional to 1,427.39, 1,969.36 and 930.74

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Solution

The fourth proportional to 1,427.39, 1,969.36 and 930.74 is: 1,284.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.39 : 1,969.36 = 930.74 : x
  2. Step 2: Convert to fraction form
    1,427.39/1,969.36 = 930.74/x
  3. Step 3: Cross multiply
    1,427.39x = 1,969.36 × 930.74
  4. Step 4: Simplify right side
    1,427.39x = 1,832,964.72
  5. Step 5: Solve for x
    x = 1,832,964.72/1,427.39
  6. Step 6: Final answer
    x = 1,284.14

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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.