Home / 2,085-2,877.30-1,153.56

Finding the Fourth Proportional to 2,085, 2,877.30 and 1,153.56

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Solution

The fourth proportional to 2,085, 2,877.30 and 1,153.56 is: 1,591.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085 : 2,877.30 = 1,153.56 : x
  2. Step 2: Convert to fraction form
    2,085/2,877.30 = 1,153.56/x
  3. Step 3: Cross multiply
    2,085x = 2,877.30 × 1,153.56
  4. Step 4: Simplify right side
    2,085x = 3,319,138.19
  5. Step 5: Solve for x
    x = 3,319,138.19/2,085
  6. Step 6: Final answer
    x = 1,591.91

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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.