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Finding the Fourth Proportional to 4,671.78, 6,447.80 and 2,783.46

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Solution

The fourth proportional to 4,671.78, 6,447.80 and 2,783.46 is: 3,841.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.78 : 6,447.80 = 2,783.46 : x
  2. Step 2: Convert to fraction form
    4,671.78/6,447.80 = 2,783.46/x
  3. Step 3: Cross multiply
    4,671.78x = 6,447.80 × 2,783.46
  4. Step 4: Simplify right side
    4,671.78x = 17,947,193.39
  5. Step 5: Solve for x
    x = 17,947,193.39/4,671.78
  6. Step 6: Final answer
    x = 3,841.62

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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.