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Finding the Fourth Proportional to 6,486.12, 9,729.19 and 5,007.50

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Solution

The fourth proportional to 6,486.12, 9,729.19 and 5,007.50 is: 7,511.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.12 : 9,729.19 = 5,007.50 : x
  2. Step 2: Convert to fraction form
    6,486.12/9,729.19 = 5,007.50/x
  3. Step 3: Cross multiply
    6,486.12x = 9,729.19 × 5,007.50
  4. Step 4: Simplify right side
    6,486.12x = 48,718,958.36
  5. Step 5: Solve for x
    x = 48,718,958.36/6,486.12
  6. Step 6: Final answer
    x = 7,511.26

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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.