Home / 1,580.64-2,182.05-1,109.54

Finding the Fourth Proportional to 1,580.64, 2,182.05 and 1,109.54

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Solution

The fourth proportional to 1,580.64, 2,182.05 and 1,109.54 is: 1,531.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.64 : 2,182.05 = 1,109.54 : x
  2. Step 2: Convert to fraction form
    1,580.64/2,182.05 = 1,109.54/x
  3. Step 3: Cross multiply
    1,580.64x = 2,182.05 × 1,109.54
  4. Step 4: Simplify right side
    1,580.64x = 2,421,060.85
  5. Step 5: Solve for x
    x = 2,421,060.85/1,580.64
  6. Step 6: Final answer
    x = 1,531.70

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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.