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Finding the Fourth Proportional to 11,491.42, 15,864.21 and 7,734.34

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Solution

The fourth proportional to 11,491.42, 15,864.21 and 7,734.34 is: 10,677.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,491.42 : 15,864.21 = 7,734.34 : x
  2. Step 2: Convert to fraction form
    11,491.42/15,864.21 = 7,734.34/x
  3. Step 3: Cross multiply
    11,491.42x = 15,864.21 × 7,734.34
  4. Step 4: Simplify right side
    11,491.42x = 122,699,193.97
  5. Step 5: Solve for x
    x = 122,699,193.97/11,491.42
  6. Step 6: Final answer
    x = 10,677.46

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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.