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Finding the Fourth Proportional to 38,586, 53,255.51 and 22,670.45

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Solution

The fourth proportional to 38,586, 53,255.51 and 22,670.45 is: 31,289.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,586 : 53,255.51 = 22,670.45 : x
  2. Step 2: Convert to fraction form
    38,586/53,255.51 = 22,670.45/x
  3. Step 3: Cross multiply
    38,586x = 53,255.51 × 22,670.45
  4. Step 4: Simplify right side
    38,586x = 1,207,325,997.05
  5. Step 5: Solve for x
    x = 1,207,325,997.05/38,586
  6. Step 6: Final answer
    x = 31,289.22

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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.