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Finding the Fourth Proportional to 20,789, 28,688.68 and 11,357.56

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Solution

The fourth proportional to 20,789, 28,688.68 and 11,357.56 is: 15,673.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,789 : 28,688.68 = 11,357.56 : x
  2. Step 2: Convert to fraction form
    20,789/28,688.68 = 11,357.56/x
  3. Step 3: Cross multiply
    20,789x = 28,688.68 × 11,357.56
  4. Step 4: Simplify right side
    20,789x = 325,833,404.42
  5. Step 5: Solve for x
    x = 325,833,404.42/20,789
  6. Step 6: Final answer
    x = 15,673.36

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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.