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Finding the Fourth Proportional to 13,011.42, 17,956 and 7,347.30

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Solution

The fourth proportional to 13,011.42, 17,956 and 7,347.30 is: 10,139.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,011.42 : 17,956 = 7,347.30 : x
  2. Step 2: Convert to fraction form
    13,011.42/17,956 = 7,347.30/x
  3. Step 3: Cross multiply
    13,011.42x = 17,956 × 7,347.30
  4. Step 4: Simplify right side
    13,011.42x = 131,928,118.80
  5. Step 5: Solve for x
    x = 131,928,118.80/13,011.42
  6. Step 6: Final answer
    x = 10,139.41

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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.