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Finding the Fourth Proportional to 6,336.78, 9,505.78 and 1,656.77

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Solution

The fourth proportional to 6,336.78, 9,505.78 and 1,656.77 is: 2,485.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.78 : 9,505.78 = 1,656.77 : x
  2. Step 2: Convert to fraction form
    6,336.78/9,505.78 = 1,656.77/x
  3. Step 3: Cross multiply
    6,336.78x = 9,505.78 × 1,656.77
  4. Step 4: Simplify right side
    6,336.78x = 15,748,910.75
  5. Step 5: Solve for x
    x = 15,748,910.75/6,336.78
  6. Step 6: Final answer
    x = 2,485.32

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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.