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Finding the Fourth Proportional to 38,642, 53,325.96 and 21,875

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Solution

The fourth proportional to 38,642, 53,325.96 and 21,875 is: 30,187.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,642 : 53,325.96 = 21,875 : x
  2. Step 2: Convert to fraction form
    38,642/53,325.96 = 21,875/x
  3. Step 3: Cross multiply
    38,642x = 53,325.96 × 21,875
  4. Step 4: Simplify right side
    38,642x = 1,166,505,375
  5. Step 5: Solve for x
    x = 1,166,505,375/38,642
  6. Step 6: Final answer
    x = 30,187.50

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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.