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Finding the Fourth Proportional to 2,379.60, 3,284.10 and 1,384.92

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Solution

The fourth proportional to 2,379.60, 3,284.10 and 1,384.92 is: 1,911.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.60 : 3,284.10 = 1,384.92 : x
  2. Step 2: Convert to fraction form
    2,379.60/3,284.10 = 1,384.92/x
  3. Step 3: Cross multiply
    2,379.60x = 3,284.10 × 1,384.92
  4. Step 4: Simplify right side
    2,379.60x = 4,548,215.77
  5. Step 5: Solve for x
    x = 4,548,215.77/2,379.60
  6. Step 6: Final answer
    x = 1,911.34

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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.