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Finding the Fourth Proportional to 38,413, 53,009.94 and 20,749

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Solution

The fourth proportional to 38,413, 53,009.94 and 20,749 is: 28,633.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,413 : 53,009.94 = 20,749 : x
  2. Step 2: Convert to fraction form
    38,413/53,009.94 = 20,749/x
  3. Step 3: Cross multiply
    38,413x = 53,009.94 × 20,749
  4. Step 4: Simplify right side
    38,413x = 1,099,903,245.06
  5. Step 5: Solve for x
    x = 1,099,903,245.06/38,413
  6. Step 6: Final answer
    x = 28,633.62

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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.