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Finding the Fourth Proportional to 12,615.70, 17,408.83 and 7,576.93

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Solution

The fourth proportional to 12,615.70, 17,408.83 and 7,576.93 is: 10,455.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,615.70 : 17,408.83 = 7,576.93 : x
  2. Step 2: Convert to fraction form
    12,615.70/17,408.83 = 7,576.93/x
  3. Step 3: Cross multiply
    12,615.70x = 17,408.83 × 7,576.93
  4. Step 4: Simplify right side
    12,615.70x = 131,905,426.70
  5. Step 5: Solve for x
    x = 131,905,426.70/12,615.70
  6. Step 6: Final answer
    x = 10,455.66

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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.