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Finding the Fourth Proportional to 6,495.78, 9,738.90 and 4,410.60

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Solution

The fourth proportional to 6,495.78, 9,738.90 and 4,410.60 is: 6,612.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495.78 : 9,738.90 = 4,410.60 : x
  2. Step 2: Convert to fraction form
    6,495.78/9,738.90 = 4,410.60/x
  3. Step 3: Cross multiply
    6,495.78x = 9,738.90 × 4,410.60
  4. Step 4: Simplify right side
    6,495.78x = 42,954,392.34
  5. Step 5: Solve for x
    x = 42,954,392.34/6,495.78
  6. Step 6: Final answer
    x = 6,612.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.