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Finding the Fourth Proportional to 38,506.40, 53,138.40 and 22,587.79

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Solution

The fourth proportional to 38,506.40, 53,138.40 and 22,587.79 is: 31,170.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,506.40 : 53,138.40 = 22,587.79 : x
  2. Step 2: Convert to fraction form
    38,506.40/53,138.40 = 22,587.79/x
  3. Step 3: Cross multiply
    38,506.40x = 53,138.40 × 22,587.79
  4. Step 4: Simplify right side
    38,506.40x = 1,200,279,020.14
  5. Step 5: Solve for x
    x = 1,200,279,020.14/38,506.40
  6. Step 6: Final answer
    x = 31,170.90

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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.