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Finding the Fourth Proportional to 1,763.89, 2,646.28 and 1,244.91

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Solution

The fourth proportional to 1,763.89, 2,646.28 and 1,244.91 is: 1,867.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.89 : 2,646.28 = 1,244.91 : x
  2. Step 2: Convert to fraction form
    1,763.89/2,646.28 = 1,244.91/x
  3. Step 3: Cross multiply
    1,763.89x = 2,646.28 × 1,244.91
  4. Step 4: Simplify right side
    1,763.89x = 3,294,373.82
  5. Step 5: Solve for x
    x = 3,294,373.82/1,763.89
  6. Step 6: Final answer
    x = 1,867.67

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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.