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Finding the Fourth Proportional to 2,705.79, 3,734.16 and 1,586.32

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Solution

The fourth proportional to 2,705.79, 3,734.16 and 1,586.32 is: 2,189.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.79 : 3,734.16 = 1,586.32 : x
  2. Step 2: Convert to fraction form
    2,705.79/3,734.16 = 1,586.32/x
  3. Step 3: Cross multiply
    2,705.79x = 3,734.16 × 1,586.32
  4. Step 4: Simplify right side
    2,705.79x = 5,923,572.69
  5. Step 5: Solve for x
    x = 5,923,572.69/2,705.79
  6. Step 6: Final answer
    x = 2,189.22

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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.