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Finding the Fourth Proportional to 2,170.77, 2,994.60 and 1,424.40

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Solution

The fourth proportional to 2,170.77, 2,994.60 and 1,424.40 is: 1,964.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.77 : 2,994.60 = 1,424.40 : x
  2. Step 2: Convert to fraction form
    2,170.77/2,994.60 = 1,424.40/x
  3. Step 3: Cross multiply
    2,170.77x = 2,994.60 × 1,424.40
  4. Step 4: Simplify right side
    2,170.77x = 4,265,508.24
  5. Step 5: Solve for x
    x = 4,265,508.24/2,170.77
  6. Step 6: Final answer
    x = 1,964.97

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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.