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Finding the Fourth Proportional to 12,276.76, 16,943.86 and 7,241.54

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Solution

The fourth proportional to 12,276.76, 16,943.86 and 7,241.54 is: 9,994.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,276.76 : 16,943.86 = 7,241.54 : x
  2. Step 2: Convert to fraction form
    12,276.76/16,943.86 = 7,241.54/x
  3. Step 3: Cross multiply
    12,276.76x = 16,943.86 × 7,241.54
  4. Step 4: Simplify right side
    12,276.76x = 122,699,664.20
  5. Step 5: Solve for x
    x = 122,699,664.20/12,276.76
  6. Step 6: Final answer
    x = 9,994.47

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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.