Home / 1,586.38-2,189.20-923.19

Finding the Fourth Proportional to 1,586.38, 2,189.20 and 923.19

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Solution

The fourth proportional to 1,586.38, 2,189.20 and 923.19 is: 1,274.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.38 : 2,189.20 = 923.19 : x
  2. Step 2: Convert to fraction form
    1,586.38/2,189.20 = 923.19/x
  3. Step 3: Cross multiply
    1,586.38x = 2,189.20 × 923.19
  4. Step 4: Simplify right side
    1,586.38x = 2,021,047.55
  5. Step 5: Solve for x
    x = 2,021,047.55/1,586.38
  6. Step 6: Final answer
    x = 1,274.00

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Half scale
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Double scale
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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.