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Finding the Fourth Proportional to 12,278.88, 16,942.32 and 7,242.84

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Solution

The fourth proportional to 12,278.88, 16,942.32 and 7,242.84 is: 9,993.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,278.88 : 16,942.32 = 7,242.84 : x
  2. Step 2: Convert to fraction form
    12,278.88/16,942.32 = 7,242.84/x
  3. Step 3: Cross multiply
    12,278.88x = 16,942.32 × 7,242.84
  4. Step 4: Simplify right side
    12,278.88x = 122,710,512.99
  5. Step 5: Solve for x
    x = 122,710,512.99/12,278.88
  6. Step 6: Final answer
    x = 9,993.62

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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.