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Finding the Fourth Proportional to 19,720, 29,584.32 and 7,408

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Solution

The fourth proportional to 19,720, 29,584.32 and 7,408 is: 11,113.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,720 : 29,584.32 = 7,408 : x
  2. Step 2: Convert to fraction form
    19,720/29,584.32 = 7,408/x
  3. Step 3: Cross multiply
    19,720x = 29,584.32 × 7,408
  4. Step 4: Simplify right side
    19,720x = 219,160,642.56
  5. Step 5: Solve for x
    x = 219,160,642.56/19,720
  6. Step 6: Final answer
    x = 11,113.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.