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Finding the Fourth Proportional to 12,592.81, 17,379.12 and 7,289.47

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Solution

The fourth proportional to 12,592.81, 17,379.12 and 7,289.47 is: 10,060.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,592.81 : 17,379.12 = 7,289.47 : x
  2. Step 2: Convert to fraction form
    12,592.81/17,379.12 = 7,289.47/x
  3. Step 3: Cross multiply
    12,592.81x = 17,379.12 × 7,289.47
  4. Step 4: Simplify right side
    12,592.81x = 126,684,573.87
  5. Step 5: Solve for x
    x = 126,684,573.87/12,592.81
  6. Step 6: Final answer
    x = 10,060.07

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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.