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Finding the Fourth Proportional to 1,362.95, 1,881.43 and 921.44

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Solution

The fourth proportional to 1,362.95, 1,881.43 and 921.44 is: 1,271.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.95 : 1,881.43 = 921.44 : x
  2. Step 2: Convert to fraction form
    1,362.95/1,881.43 = 921.44/x
  3. Step 3: Cross multiply
    1,362.95x = 1,881.43 × 921.44
  4. Step 4: Simplify right side
    1,362.95x = 1,733,620.25
  5. Step 5: Solve for x
    x = 1,733,620.25/1,362.95
  6. Step 6: Final answer
    x = 1,271.97

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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.