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Finding the Fourth Proportional to 1,461.92, 2,187.84 and 1,401.44

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Solution

The fourth proportional to 1,461.92, 2,187.84 and 1,401.44 is: 2,097.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.92 : 2,187.84 = 1,401.44 : x
  2. Step 2: Convert to fraction form
    1,461.92/2,187.84 = 1,401.44/x
  3. Step 3: Cross multiply
    1,461.92x = 2,187.84 × 1,401.44
  4. Step 4: Simplify right side
    1,461.92x = 3,066,126.49
  5. Step 5: Solve for x
    x = 3,066,126.49/1,461.92
  6. Step 6: Final answer
    x = 2,097.33

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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.