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Finding the Fourth Proportional to 14,773.86, 20,388.24 and 8,400.24

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Solution

The fourth proportional to 14,773.86, 20,388.24 and 8,400.24 is: 11,592.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,773.86 : 20,388.24 = 8,400.24 : x
  2. Step 2: Convert to fraction form
    14,773.86/20,388.24 = 8,400.24/x
  3. Step 3: Cross multiply
    14,773.86x = 20,388.24 × 8,400.24
  4. Step 4: Simplify right side
    14,773.86x = 171,266,109.18
  5. Step 5: Solve for x
    x = 171,266,109.18/14,773.86
  6. Step 6: Final answer
    x = 11,592.51

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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.