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Finding the Fourth Proportional to 1,427.11, 1,970.31 and 1,094.92

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Solution

The fourth proportional to 1,427.11, 1,970.31 and 1,094.92 is: 1,511.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.11 : 1,970.31 = 1,094.92 : x
  2. Step 2: Convert to fraction form
    1,427.11/1,970.31 = 1,094.92/x
  3. Step 3: Cross multiply
    1,427.11x = 1,970.31 × 1,094.92
  4. Step 4: Simplify right side
    1,427.11x = 2,157,331.83
  5. Step 5: Solve for x
    x = 2,157,331.83/1,427.11
  6. Step 6: Final answer
    x = 1,511.68

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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.