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Finding the Fourth Proportional to 20,395, 28,144.70 and 11,442.44

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Solution

The fourth proportional to 20,395, 28,144.70 and 11,442.44 is: 15,790.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,395 : 28,144.70 = 11,442.44 : x
  2. Step 2: Convert to fraction form
    20,395/28,144.70 = 11,442.44/x
  3. Step 3: Cross multiply
    20,395x = 28,144.70 × 11,442.44
  4. Step 4: Simplify right side
    20,395x = 322,044,041.07
  5. Step 5: Solve for x
    x = 322,044,041.07/20,395
  6. Step 6: Final answer
    x = 15,790.34

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Half scale
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Double scale
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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.