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Finding the Fourth Proportional to 4,913.56, 6,780.64 and 2,789

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Solution

The fourth proportional to 4,913.56, 6,780.64 and 2,789 is: 3,848.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,913.56 : 6,780.64 = 2,789 : x
  2. Step 2: Convert to fraction form
    4,913.56/6,780.64 = 2,789/x
  3. Step 3: Cross multiply
    4,913.56x = 6,780.64 × 2,789
  4. Step 4: Simplify right side
    4,913.56x = 18,911,204.96
  5. Step 5: Solve for x
    x = 18,911,204.96/4,913.56
  6. Step 6: Final answer
    x = 3,848.78

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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.