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Finding the Fourth Proportional to 20,925, 31,387.50 and 5,342.76

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Solution

The fourth proportional to 20,925, 31,387.50 and 5,342.76 is: 8,014.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,925 : 31,387.50 = 5,342.76 : x
  2. Step 2: Convert to fraction form
    20,925/31,387.50 = 5,342.76/x
  3. Step 3: Cross multiply
    20,925x = 31,387.50 × 5,342.76
  4. Step 4: Simplify right side
    20,925x = 167,695,879.50
  5. Step 5: Solve for x
    x = 167,695,879.50/20,925
  6. Step 6: Final answer
    x = 8,014.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.