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Finding the Fourth Proportional to 15,032, 20,744.16 and 8,408

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Solution

The fourth proportional to 15,032, 20,744.16 and 8,408 is: 11,603.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,032 : 20,744.16 = 8,408 : x
  2. Step 2: Convert to fraction form
    15,032/20,744.16 = 8,408/x
  3. Step 3: Cross multiply
    15,032x = 20,744.16 × 8,408
  4. Step 4: Simplify right side
    15,032x = 174,416,897.28
  5. Step 5: Solve for x
    x = 174,416,897.28/15,032
  6. Step 6: Final answer
    x = 11,603.04

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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.