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Finding the Fourth Proportional to 13,011.78, 17,956.26 and 7,043.46

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Solution

The fourth proportional to 13,011.78, 17,956.26 and 7,043.46 is: 9,719.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,011.78 : 17,956.26 = 7,043.46 : x
  2. Step 2: Convert to fraction form
    13,011.78/17,956.26 = 7,043.46/x
  3. Step 3: Cross multiply
    13,011.78x = 17,956.26 × 7,043.46
  4. Step 4: Simplify right side
    13,011.78x = 126,474,199.06
  5. Step 5: Solve for x
    x = 126,474,199.06/13,011.78
  6. Step 6: Final answer
    x = 9,719.98

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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.