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Finding the Fourth Proportional to 11,470.99, 15,820.84 and 9,478.09

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Solution

The fourth proportional to 11,470.99, 15,820.84 and 9,478.09 is: 13,072.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,470.99 : 15,820.84 = 9,478.09 : x
  2. Step 2: Convert to fraction form
    11,470.99/15,820.84 = 9,478.09/x
  3. Step 3: Cross multiply
    11,470.99x = 15,820.84 × 9,478.09
  4. Step 4: Simplify right side
    11,470.99x = 149,951,345.40
  5. Step 5: Solve for x
    x = 149,951,345.40/11,470.99
  6. Step 6: Final answer
    x = 13,072.22

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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.