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Finding the Fourth Proportional to 20,788, 28,688.07 and 11,357.17

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Solution

The fourth proportional to 20,788, 28,688.07 and 11,357.17 is: 15,673.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,788 : 28,688.07 = 11,357.17 : x
  2. Step 2: Convert to fraction form
    20,788/28,688.07 = 11,357.17/x
  3. Step 3: Cross multiply
    20,788x = 28,688.07 × 11,357.17
  4. Step 4: Simplify right side
    20,788x = 325,815,287.96
  5. Step 5: Solve for x
    x = 325,815,287.96/20,788
  6. Step 6: Final answer
    x = 15,673.24

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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.