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Finding the Fourth Proportional to 2,912.99, 4,019.80 and 1,586.71

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Solution

The fourth proportional to 2,912.99, 4,019.80 and 1,586.71 is: 2,189.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.99 : 4,019.80 = 1,586.71 : x
  2. Step 2: Convert to fraction form
    2,912.99/4,019.80 = 1,586.71/x
  3. Step 3: Cross multiply
    2,912.99x = 4,019.80 × 1,586.71
  4. Step 4: Simplify right side
    2,912.99x = 6,378,256.86
  5. Step 5: Solve for x
    x = 6,378,256.86/2,912.99
  6. Step 6: Final answer
    x = 2,189.59

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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.