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Finding the Fourth Proportional to 8,378.48, 12,646.46 and 8,378.48

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Solution

The fourth proportional to 8,378.48, 12,646.46 and 8,378.48 is: 12,646.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.48 : 12,646.46 = 8,378.48 : x
  2. Step 2: Convert to fraction form
    8,378.48/12,646.46 = 8,378.48/x
  3. Step 3: Cross multiply
    8,378.48x = 12,646.46 × 8,378.48
  4. Step 4: Simplify right side
    8,378.48x = 105,958,112.18
  5. Step 5: Solve for x
    x = 105,958,112.18/8,378.48
  6. Step 6: Final answer
    x = 12,646.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.