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Finding the Fourth Proportional to 15,878.22, 23,815.64 and 6,519.22

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Solution

The fourth proportional to 15,878.22, 23,815.64 and 6,519.22 is: 9,778.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,878.22 : 23,815.64 = 6,519.22 : x
  2. Step 2: Convert to fraction form
    15,878.22/23,815.64 = 6,519.22/x
  3. Step 3: Cross multiply
    15,878.22x = 23,815.64 × 6,519.22
  4. Step 4: Simplify right side
    15,878.22x = 155,259,396.60
  5. Step 5: Solve for x
    x = 155,259,396.60/15,878.22
  6. Step 6: Final answer
    x = 9,778.14

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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.