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Finding the Fourth Proportional to 15,613.84, 23,420.80 and 10,942.80

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Solution

The fourth proportional to 15,613.84, 23,420.80 and 10,942.80 is: 16,414.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,613.84 : 23,420.80 = 10,942.80 : x
  2. Step 2: Convert to fraction form
    15,613.84/23,420.80 = 10,942.80/x
  3. Step 3: Cross multiply
    15,613.84x = 23,420.80 × 10,942.80
  4. Step 4: Simplify right side
    15,613.84x = 256,289,130.24
  5. Step 5: Solve for x
    x = 256,289,130.24/15,613.84
  6. Step 6: Final answer
    x = 16,414.23

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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.