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Finding the Fourth Proportional to 6,478.87, 8,940.70 and 3,607.58

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Solution

The fourth proportional to 6,478.87, 8,940.70 and 3,607.58 is: 4,978.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.87 : 8,940.70 = 3,607.58 : x
  2. Step 2: Convert to fraction form
    6,478.87/8,940.70 = 3,607.58/x
  3. Step 3: Cross multiply
    6,478.87x = 8,940.70 × 3,607.58
  4. Step 4: Simplify right side
    6,478.87x = 32,254,236.78
  5. Step 5: Solve for x
    x = 32,254,236.78/6,478.87
  6. Step 6: Final answer
    x = 4,978.38

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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.