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Finding the Fourth Proportional to 12,903.22, 17,810.22 and 8,427.66

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Solution

The fourth proportional to 12,903.22, 17,810.22 and 8,427.66 is: 11,632.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,903.22 : 17,810.22 = 8,427.66 : x
  2. Step 2: Convert to fraction form
    12,903.22/17,810.22 = 8,427.66/x
  3. Step 3: Cross multiply
    12,903.22x = 17,810.22 × 8,427.66
  4. Step 4: Simplify right side
    12,903.22x = 150,098,478.69
  5. Step 5: Solve for x
    x = 150,098,478.69/12,903.22
  6. Step 6: Final answer
    x = 11,632.64

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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.