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Finding the Fourth Proportional to 1,871.17, 2,806.74 and 701.12

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Solution

The fourth proportional to 1,871.17, 2,806.74 and 701.12 is: 1,051.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.17 : 2,806.74 = 701.12 : x
  2. Step 2: Convert to fraction form
    1,871.17/2,806.74 = 701.12/x
  3. Step 3: Cross multiply
    1,871.17x = 2,806.74 × 701.12
  4. Step 4: Simplify right side
    1,871.17x = 1,967,861.55
  5. Step 5: Solve for x
    x = 1,967,861.55/1,871.17
  6. Step 6: Final answer
    x = 1,051.67

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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.