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Finding the Fourth Proportional to 20,980.37, 28,953.11 and 11,549

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Solution

The fourth proportional to 20,980.37, 28,953.11 and 11,549 is: 15,937.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,980.37 : 28,953.11 = 11,549 : x
  2. Step 2: Convert to fraction form
    20,980.37/28,953.11 = 11,549/x
  3. Step 3: Cross multiply
    20,980.37x = 28,953.11 × 11,549
  4. Step 4: Simplify right side
    20,980.37x = 334,379,467.39
  5. Step 5: Solve for x
    x = 334,379,467.39/20,980.37
  6. Step 6: Final answer
    x = 15,937.73

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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.