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Finding the Fourth Proportional to 3,071.78, 4,238.85 and 1,813.22

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Solution

The fourth proportional to 3,071.78, 4,238.85 and 1,813.22 is: 2,502.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.78 : 4,238.85 = 1,813.22 : x
  2. Step 2: Convert to fraction form
    3,071.78/4,238.85 = 1,813.22/x
  3. Step 3: Cross multiply
    3,071.78x = 4,238.85 × 1,813.22
  4. Step 4: Simplify right side
    3,071.78x = 7,685,946.40
  5. Step 5: Solve for x
    x = 7,685,946.40/3,071.78
  6. Step 6: Final answer
    x = 2,502.12

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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.