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Finding the Fourth Proportional to 15,193.42, 20,962.02 and 8,477.98

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Solution

The fourth proportional to 15,193.42, 20,962.02 and 8,477.98 is: 11,696.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,193.42 : 20,962.02 = 8,477.98 : x
  2. Step 2: Convert to fraction form
    15,193.42/20,962.02 = 8,477.98/x
  3. Step 3: Cross multiply
    15,193.42x = 20,962.02 × 8,477.98
  4. Step 4: Simplify right side
    15,193.42x = 177,715,586.32
  5. Step 5: Solve for x
    x = 177,715,586.32/15,193.42
  6. Step 6: Final answer
    x = 11,696.88

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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.