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Finding the Fourth Proportional to 12,912, 17,810.24 and 7,944.32

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Solution

The fourth proportional to 12,912, 17,810.24 and 7,944.32 is: 10,958.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,912 : 17,810.24 = 7,944.32 : x
  2. Step 2: Convert to fraction form
    12,912/17,810.24 = 7,944.32/x
  3. Step 3: Cross multiply
    12,912x = 17,810.24 × 7,944.32
  4. Step 4: Simplify right side
    12,912x = 141,490,245.84
  5. Step 5: Solve for x
    x = 141,490,245.84/12,912
  6. Step 6: Final answer
    x = 10,958.04

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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.