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Finding the Fourth Proportional to 38,138, 52,633.32 and 21,372.08

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Solution

The fourth proportional to 38,138, 52,633.32 and 21,372.08 is: 29,495.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,138 : 52,633.32 = 21,372.08 : x
  2. Step 2: Convert to fraction form
    38,138/52,633.32 = 21,372.08/x
  3. Step 3: Cross multiply
    38,138x = 52,633.32 × 21,372.08
  4. Step 4: Simplify right side
    38,138x = 1,124,883,525.71
  5. Step 5: Solve for x
    x = 1,124,883,525.71/38,138
  6. Step 6: Final answer
    x = 29,495.08

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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.