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Finding the Fourth Proportional to 4,889.85, 6,748.05 and 2,651.76

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Solution

The fourth proportional to 4,889.85, 6,748.05 and 2,651.76 is: 3,659.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,889.85 : 6,748.05 = 2,651.76 : x
  2. Step 2: Convert to fraction form
    4,889.85/6,748.05 = 2,651.76/x
  3. Step 3: Cross multiply
    4,889.85x = 6,748.05 × 2,651.76
  4. Step 4: Simplify right side
    4,889.85x = 17,894,209.07
  5. Step 5: Solve for x
    x = 17,894,209.07/4,889.85
  6. Step 6: Final answer
    x = 3,659.46

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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.