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Finding the Fourth Proportional to 12,133.46, 16,747.34 and 7,421.69

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Solution

The fourth proportional to 12,133.46, 16,747.34 and 7,421.69 is: 10,243.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,133.46 : 16,747.34 = 7,421.69 : x
  2. Step 2: Convert to fraction form
    12,133.46/16,747.34 = 7,421.69/x
  3. Step 3: Cross multiply
    12,133.46x = 16,747.34 × 7,421.69
  4. Step 4: Simplify right side
    12,133.46x = 124,293,444.96
  5. Step 5: Solve for x
    x = 124,293,444.96/12,133.46
  6. Step 6: Final answer
    x = 10,243.86

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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.