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Finding the Fourth Proportional to 13,361.47, 20,045.62 and 7,819.47

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Solution

The fourth proportional to 13,361.47, 20,045.62 and 7,819.47 is: 11,731.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,361.47 : 20,045.62 = 7,819.47 : x
  2. Step 2: Convert to fraction form
    13,361.47/20,045.62 = 7,819.47/x
  3. Step 3: Cross multiply
    13,361.47x = 20,045.62 × 7,819.47
  4. Step 4: Simplify right side
    13,361.47x = 156,746,124.22
  5. Step 5: Solve for x
    x = 156,746,124.22/13,361.47
  6. Step 6: Final answer
    x = 11,731.20

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1.5x scale

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.