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Finding the Fourth Proportional to 2,154.82, 2,974.38 and 1,399.63

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Solution

The fourth proportional to 2,154.82, 2,974.38 and 1,399.63 is: 1,931.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.82 : 2,974.38 = 1,399.63 : x
  2. Step 2: Convert to fraction form
    2,154.82/2,974.38 = 1,399.63/x
  3. Step 3: Cross multiply
    2,154.82x = 2,974.38 × 1,399.63
  4. Step 4: Simplify right side
    2,154.82x = 4,163,031.48
  5. Step 5: Solve for x
    x = 4,163,031.48/2,154.82
  6. Step 6: Final answer
    x = 1,931.96

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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.