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Finding the Fourth Proportional to 38,625.75, 53,305.16 and 21,858.75

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Solution

The fourth proportional to 38,625.75, 53,305.16 and 21,858.75 is: 30,165.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,625.75 : 53,305.16 = 21,858.75 : x
  2. Step 2: Convert to fraction form
    38,625.75/53,305.16 = 21,858.75/x
  3. Step 3: Cross multiply
    38,625.75x = 53,305.16 × 21,858.75
  4. Step 4: Simplify right side
    38,625.75x = 1,165,184,056.86
  5. Step 5: Solve for x
    x = 1,165,184,056.86/38,625.75
  6. Step 6: Final answer
    x = 30,165.99

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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.