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Finding the Fourth Proportional to 4,913.50, 6,780.63 and 2,705.50

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Solution

The fourth proportional to 4,913.50, 6,780.63 and 2,705.50 is: 3,733.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,913.50 : 6,780.63 = 2,705.50 : x
  2. Step 2: Convert to fraction form
    4,913.50/6,780.63 = 2,705.50/x
  3. Step 3: Cross multiply
    4,913.50x = 6,780.63 × 2,705.50
  4. Step 4: Simplify right side
    4,913.50x = 18,344,994.47
  5. Step 5: Solve for x
    x = 18,344,994.47/4,913.50
  6. Step 6: Final answer
    x = 3,733.59

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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.