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Finding the Fourth Proportional to 33,312, 45,970.68 and 18,408

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Solution

The fourth proportional to 33,312, 45,970.68 and 18,408 is: 25,403.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,312 : 45,970.68 = 18,408 : x
  2. Step 2: Convert to fraction form
    33,312/45,970.68 = 18,408/x
  3. Step 3: Cross multiply
    33,312x = 45,970.68 × 18,408
  4. Step 4: Simplify right side
    33,312x = 846,228,277.44
  5. Step 5: Solve for x
    x = 846,228,277.44/33,312
  6. Step 6: Final answer
    x = 25,403.11

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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.