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Finding the Fourth Proportional to 12,905.76, 17,804.84 and 8,428.08

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Solution

The fourth proportional to 12,905.76, 17,804.84 and 8,428.08 is: 11,627.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,905.76 : 17,804.84 = 8,428.08 : x
  2. Step 2: Convert to fraction form
    12,905.76/17,804.84 = 8,428.08/x
  3. Step 3: Cross multiply
    12,905.76x = 17,804.84 × 8,428.08
  4. Step 4: Simplify right side
    12,905.76x = 150,060,615.91
  5. Step 5: Solve for x
    x = 150,060,615.91/12,905.76
  6. Step 6: Final answer
    x = 11,627.41

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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.