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Finding the Fourth Proportional to 11,615.44, 17,412 and 7,443.76

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Solution

The fourth proportional to 11,615.44, 17,412 and 7,443.76 is: 11,158.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,615.44 : 17,412 = 7,443.76 : x
  2. Step 2: Convert to fraction form
    11,615.44/17,412 = 7,443.76/x
  3. Step 3: Cross multiply
    11,615.44x = 17,412 × 7,443.76
  4. Step 4: Simplify right side
    11,615.44x = 129,610,749.12
  5. Step 5: Solve for x
    x = 129,610,749.12/11,615.44
  6. Step 6: Final answer
    x = 11,158.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.