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Finding the Fourth Proportional to 4,913.63, 6,780.80 and 2,705.63

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Solution

The fourth proportional to 4,913.63, 6,780.80 and 2,705.63 is: 3,733.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,913.63 : 6,780.80 = 2,705.63 : x
  2. Step 2: Convert to fraction form
    4,913.63/6,780.80 = 2,705.63/x
  3. Step 3: Cross multiply
    4,913.63x = 6,780.80 × 2,705.63
  4. Step 4: Simplify right side
    4,913.63x = 18,346,308.76
  5. Step 5: Solve for x
    x = 18,346,308.76/4,913.63
  6. Step 6: Final answer
    x = 3,733.76

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1.5x scale

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.