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Finding the Fourth Proportional to 13,901.44, 20,842.86 and 7,664.44

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Solution

The fourth proportional to 13,901.44, 20,842.86 and 7,664.44 is: 11,491.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,901.44 : 20,842.86 = 7,664.44 : x
  2. Step 2: Convert to fraction form
    13,901.44/20,842.86 = 7,664.44/x
  3. Step 3: Cross multiply
    13,901.44x = 20,842.86 × 7,664.44
  4. Step 4: Simplify right side
    13,901.44x = 159,748,849.90
  5. Step 5: Solve for x
    x = 159,748,849.90/13,901.44
  6. Step 6: Final answer
    x = 11,491.53

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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.