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Finding the Fourth Proportional to 12,947.51, 17,850.35 and 8,463.56

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Solution

The fourth proportional to 12,947.51, 17,850.35 and 8,463.56 is: 11,668.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,947.51 : 17,850.35 = 8,463.56 : x
  2. Step 2: Convert to fraction form
    12,947.51/17,850.35 = 8,463.56/x
  3. Step 3: Cross multiply
    12,947.51x = 17,850.35 × 8,463.56
  4. Step 4: Simplify right side
    12,947.51x = 151,077,376.68
  5. Step 5: Solve for x
    x = 151,077,376.68/12,947.51
  6. Step 6: Final answer
    x = 11,668.45

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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.