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Finding the Fourth Proportional to 1,871.45, 2,798.87 and 1,211.70

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Solution

The fourth proportional to 1,871.45, 2,798.87 and 1,211.70 is: 1,812.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.45 : 2,798.87 = 1,211.70 : x
  2. Step 2: Convert to fraction form
    1,871.45/2,798.87 = 1,211.70/x
  3. Step 3: Cross multiply
    1,871.45x = 2,798.87 × 1,211.70
  4. Step 4: Simplify right side
    1,871.45x = 3,391,384.72
  5. Step 5: Solve for x
    x = 3,391,384.72/1,871.45
  6. Step 6: Final answer
    x = 1,812.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.