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Finding the Fourth Proportional to 11,953.14, 17,920.26 and 4,929.09

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Solution

The fourth proportional to 11,953.14, 17,920.26 and 4,929.09 is: 7,389.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,953.14 : 17,920.26 = 4,929.09 : x
  2. Step 2: Convert to fraction form
    11,953.14/17,920.26 = 4,929.09/x
  3. Step 3: Cross multiply
    11,953.14x = 17,920.26 × 4,929.09
  4. Step 4: Simplify right side
    11,953.14x = 88,330,574.36
  5. Step 5: Solve for x
    x = 88,330,574.36/11,953.14
  6. Step 6: Final answer
    x = 7,389.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.