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Finding the Fourth Proportional to 1,364.73, 1,871.04 and 1,340.12

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Solution

The fourth proportional to 1,364.73, 1,871.04 and 1,340.12 is: 1,837.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.73 : 1,871.04 = 1,340.12 : x
  2. Step 2: Convert to fraction form
    1,364.73/1,871.04 = 1,340.12/x
  3. Step 3: Cross multiply
    1,364.73x = 1,871.04 × 1,340.12
  4. Step 4: Simplify right side
    1,364.73x = 2,507,408.77
  5. Step 5: Solve for x
    x = 2,507,408.77/1,364.73
  6. Step 6: Final answer
    x = 1,837.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.