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Finding the Fourth Proportional to 2,119.29, 3,178.93 and 580.29

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Solution

The fourth proportional to 2,119.29, 3,178.93 and 580.29 is: 870.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.29 : 3,178.93 = 580.29 : x
  2. Step 2: Convert to fraction form
    2,119.29/3,178.93 = 580.29/x
  3. Step 3: Cross multiply
    2,119.29x = 3,178.93 × 580.29
  4. Step 4: Simplify right side
    2,119.29x = 1,844,701.29
  5. Step 5: Solve for x
    x = 1,844,701.29/2,119.29
  6. Step 6: Final answer
    x = 870.43

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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.