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Finding the Fourth Proportional to 2,858.81, 3,946.81 and 2,181.30

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Solution

The fourth proportional to 2,858.81, 3,946.81 and 2,181.30 is: 3,011.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.81 : 3,946.81 = 2,181.30 : x
  2. Step 2: Convert to fraction form
    2,858.81/3,946.81 = 2,181.30/x
  3. Step 3: Cross multiply
    2,858.81x = 3,946.81 × 2,181.30
  4. Step 4: Simplify right side
    2,858.81x = 8,609,160.49
  5. Step 5: Solve for x
    x = 8,609,160.49/2,858.81
  6. Step 6: Final answer
    x = 3,011.45

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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.