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Finding the Fourth Proportional to 38,445, 53,049.81 and 22,308.57

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Solution

The fourth proportional to 38,445, 53,049.81 and 22,308.57 is: 30,783.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,445 : 53,049.81 = 22,308.57 : x
  2. Step 2: Convert to fraction form
    38,445/53,049.81 = 22,308.57/x
  3. Step 3: Cross multiply
    38,445x = 53,049.81 × 22,308.57
  4. Step 4: Simplify right side
    38,445x = 1,183,465,399.87
  5. Step 5: Solve for x
    x = 1,183,465,399.87/38,445
  6. Step 6: Final answer
    x = 30,783.34

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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.