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Finding the Fourth Proportional to 38,508.48, 53,142.48 and 21,738.24

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Solution

The fourth proportional to 38,508.48, 53,142.48 and 21,738.24 is: 29,999.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,508.48 : 53,142.48 = 21,738.24 : x
  2. Step 2: Convert to fraction form
    38,508.48/53,142.48 = 21,738.24/x
  3. Step 3: Cross multiply
    38,508.48x = 53,142.48 × 21,738.24
  4. Step 4: Simplify right side
    38,508.48x = 1,155,223,984.44
  5. Step 5: Solve for x
    x = 1,155,223,984.44/38,508.48
  6. Step 6: Final answer
    x = 29,999.21

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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.