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Finding the Fourth Proportional to 6,346.50, 9,519.75 and 1,729.50

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Solution

The fourth proportional to 6,346.50, 9,519.75 and 1,729.50 is: 2,594.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.50 : 9,519.75 = 1,729.50 : x
  2. Step 2: Convert to fraction form
    6,346.50/9,519.75 = 1,729.50/x
  3. Step 3: Cross multiply
    6,346.50x = 9,519.75 × 1,729.50
  4. Step 4: Simplify right side
    6,346.50x = 16,464,407.63
  5. Step 5: Solve for x
    x = 16,464,407.63/6,346.50
  6. Step 6: Final answer
    x = 2,594.25

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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.