Home / 2,705.64-3,733.54-1,586.40

Finding the Fourth Proportional to 2,705.64, 3,733.54 and 1,586.40

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Solution

The fourth proportional to 2,705.64, 3,733.54 and 1,586.40 is: 2,189.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.64 : 3,733.54 = 1,586.40 : x
  2. Step 2: Convert to fraction form
    2,705.64/3,733.54 = 1,586.40/x
  3. Step 3: Cross multiply
    2,705.64x = 3,733.54 × 1,586.40
  4. Step 4: Simplify right side
    2,705.64x = 5,922,887.86
  5. Step 5: Solve for x
    x = 5,922,887.86/2,705.64
  6. Step 6: Final answer
    x = 2,189.09

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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.