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Finding the Fourth Proportional to 8,281.07, 12,409.52 and 3,840.09

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Solution

The fourth proportional to 8,281.07, 12,409.52 and 3,840.09 is: 5,754.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.07 : 12,409.52 = 3,840.09 : x
  2. Step 2: Convert to fraction form
    8,281.07/12,409.52 = 3,840.09/x
  3. Step 3: Cross multiply
    8,281.07x = 12,409.52 × 3,840.09
  4. Step 4: Simplify right side
    8,281.07x = 47,653,673.66
  5. Step 5: Solve for x
    x = 47,653,673.66/8,281.07
  6. Step 6: Final answer
    x = 5,754.53

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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.