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Finding the Fourth Proportional to 8,040.47, 12,046.86 and 6,284.79

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Solution

The fourth proportional to 8,040.47, 12,046.86 and 6,284.79 is: 9,416.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,040.47 : 12,046.86 = 6,284.79 : x
  2. Step 2: Convert to fraction form
    8,040.47/12,046.86 = 6,284.79/x
  3. Step 3: Cross multiply
    8,040.47x = 12,046.86 × 6,284.79
  4. Step 4: Simplify right side
    8,040.47x = 75,711,985.26
  5. Step 5: Solve for x
    x = 75,711,985.26/8,040.47
  6. Step 6: Final answer
    x = 9,416.37

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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.