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Finding the Fourth Proportional to 12,807.75, 17,663.36 and 8,327.37

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Solution

The fourth proportional to 12,807.75, 17,663.36 and 8,327.37 is: 11,484.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,807.75 : 17,663.36 = 8,327.37 : x
  2. Step 2: Convert to fraction form
    12,807.75/17,663.36 = 8,327.37/x
  3. Step 3: Cross multiply
    12,807.75x = 17,663.36 × 8,327.37
  4. Step 4: Simplify right side
    12,807.75x = 147,089,292.53
  5. Step 5: Solve for x
    x = 147,089,292.53/12,807.75
  6. Step 6: Final answer
    x = 11,484.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.