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Finding the Fourth Proportional to 15,855.42, 23,776.22 and 8,458.22

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Solution

The fourth proportional to 15,855.42, 23,776.22 and 8,458.22 is: 12,683.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,855.42 : 23,776.22 = 8,458.22 : x
  2. Step 2: Convert to fraction form
    15,855.42/23,776.22 = 8,458.22/x
  3. Step 3: Cross multiply
    15,855.42x = 23,776.22 × 8,458.22
  4. Step 4: Simplify right side
    15,855.42x = 201,104,499.53
  5. Step 5: Solve for x
    x = 201,104,499.53/15,855.42
  6. Step 6: Final answer
    x = 12,683.64

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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.