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Finding the Fourth Proportional to 1,427.56, 2,140.86 and 851.56

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Solution

The fourth proportional to 1,427.56, 2,140.86 and 851.56 is: 1,277.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.56 : 2,140.86 = 851.56 : x
  2. Step 2: Convert to fraction form
    1,427.56/2,140.86 = 851.56/x
  3. Step 3: Cross multiply
    1,427.56x = 2,140.86 × 851.56
  4. Step 4: Simplify right side
    1,427.56x = 1,823,070.74
  5. Step 5: Solve for x
    x = 1,823,070.74/1,427.56
  6. Step 6: Final answer
    x = 1,277.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.