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Finding the Fourth Proportional to 15,819.12, 21,830.76 and 8,745.66

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Solution

The fourth proportional to 15,819.12, 21,830.76 and 8,745.66 is: 12,069.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,819.12 : 21,830.76 = 8,745.66 : x
  2. Step 2: Convert to fraction form
    15,819.12/21,830.76 = 8,745.66/x
  3. Step 3: Cross multiply
    15,819.12x = 21,830.76 × 8,745.66
  4. Step 4: Simplify right side
    15,819.12x = 190,924,404.50
  5. Step 5: Solve for x
    x = 190,924,404.50/15,819.12
  6. Step 6: Final answer
    x = 12,069.22

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1.5x scale

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.