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Finding the Fourth Proportional to 15,123.90, 20,871.68 and 8,409.44

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Solution

The fourth proportional to 15,123.90, 20,871.68 and 8,409.44 is: 11,605.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,123.90 : 20,871.68 = 8,409.44 : x
  2. Step 2: Convert to fraction form
    15,123.90/20,871.68 = 8,409.44/x
  3. Step 3: Cross multiply
    15,123.90x = 20,871.68 × 8,409.44
  4. Step 4: Simplify right side
    15,123.90x = 175,519,140.66
  5. Step 5: Solve for x
    x = 175,519,140.66/15,123.90
  6. Step 6: Final answer
    x = 11,605.42

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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.