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Finding the Fourth Proportional to 11,456.82, 15,813.09 and 7,470.99

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Solution

The fourth proportional to 11,456.82, 15,813.09 and 7,470.99 is: 10,311.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,456.82 : 15,813.09 = 7,470.99 : x
  2. Step 2: Convert to fraction form
    11,456.82/15,813.09 = 7,470.99/x
  3. Step 3: Cross multiply
    11,456.82x = 15,813.09 × 7,470.99
  4. Step 4: Simplify right side
    11,456.82x = 118,139,437.26
  5. Step 5: Solve for x
    x = 118,139,437.26/11,456.82
  6. Step 6: Final answer
    x = 10,311.71

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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.