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Finding the Fourth Proportional to 20,931, 28,884 and 11,370.48

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Solution

The fourth proportional to 20,931, 28,884 and 11,370.48 is: 15,690.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,931 : 28,884 = 11,370.48 : x
  2. Step 2: Convert to fraction form
    20,931/28,884 = 11,370.48/x
  3. Step 3: Cross multiply
    20,931x = 28,884 × 11,370.48
  4. Step 4: Simplify right side
    20,931x = 328,424,944.32
  5. Step 5: Solve for x
    x = 328,424,944.32/20,931
  6. Step 6: Final answer
    x = 15,690.84

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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.