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Finding the Fourth Proportional to 39,322, 54,264.36 and 21,658

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Solution

The fourth proportional to 39,322, 54,264.36 and 21,658 is: 29,888.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,322 : 54,264.36 = 21,658 : x
  2. Step 2: Convert to fraction form
    39,322/54,264.36 = 21,658/x
  3. Step 3: Cross multiply
    39,322x = 54,264.36 × 21,658
  4. Step 4: Simplify right side
    39,322x = 1,175,257,508.88
  5. Step 5: Solve for x
    x = 1,175,257,508.88/39,322
  6. Step 6: Final answer
    x = 29,888.04

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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.