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Finding the Fourth Proportional to 12,956.85, 17,889.17 and 9,782.97

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Solution

The fourth proportional to 12,956.85, 17,889.17 and 9,782.97 is: 13,507.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,956.85 : 17,889.17 = 9,782.97 : x
  2. Step 2: Convert to fraction form
    12,956.85/17,889.17 = 9,782.97/x
  3. Step 3: Cross multiply
    12,956.85x = 17,889.17 × 9,782.97
  4. Step 4: Simplify right side
    12,956.85x = 175,009,213.43
  5. Step 5: Solve for x
    x = 175,009,213.43/12,956.85
  6. Step 6: Final answer
    x = 13,507.08

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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.