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Finding the Fourth Proportional to 2,771.40, 3,823.40 and 1,592.30

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Solution

The fourth proportional to 2,771.40, 3,823.40 and 1,592.30 is: 2,196.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.40 : 3,823.40 = 1,592.30 : x
  2. Step 2: Convert to fraction form
    2,771.40/3,823.40 = 1,592.30/x
  3. Step 3: Cross multiply
    2,771.40x = 3,823.40 × 1,592.30
  4. Step 4: Simplify right side
    2,771.40x = 6,087,999.82
  5. Step 5: Solve for x
    x = 6,087,999.82/2,771.40
  6. Step 6: Final answer
    x = 2,196.72

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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.