Home / 1,586.09-2,188.46-922.59

Finding the Fourth Proportional to 1,586.09, 2,188.46 and 922.59

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Solution

The fourth proportional to 1,586.09, 2,188.46 and 922.59 is: 1,272.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.09 : 2,188.46 = 922.59 : x
  2. Step 2: Convert to fraction form
    1,586.09/2,188.46 = 922.59/x
  3. Step 3: Cross multiply
    1,586.09x = 2,188.46 × 922.59
  4. Step 4: Simplify right side
    1,586.09x = 2,019,051.31
  5. Step 5: Solve for x
    x = 2,019,051.31/1,586.09
  6. Step 6: Final answer
    x = 1,272.97

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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.