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Finding the Fourth Proportional to 2,378.90, 3,282.90 and 1,384.76

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Solution

The fourth proportional to 2,378.90, 3,282.90 and 1,384.76 is: 1,910.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.90 : 3,282.90 = 1,384.76 : x
  2. Step 2: Convert to fraction form
    2,378.90/3,282.90 = 1,384.76/x
  3. Step 3: Cross multiply
    2,378.90x = 3,282.90 × 1,384.76
  4. Step 4: Simplify right side
    2,378.90x = 4,546,012.19
  5. Step 5: Solve for x
    x = 4,546,012.19/2,378.90
  6. Step 6: Final answer
    x = 1,910.97

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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.