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Finding the Fourth Proportional to 13,820.52, 20,730.76 and 4,586.52

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Solution

The fourth proportional to 13,820.52, 20,730.76 and 4,586.52 is: 6,879.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820.52 : 20,730.76 = 4,586.52 : x
  2. Step 2: Convert to fraction form
    13,820.52/20,730.76 = 4,586.52/x
  3. Step 3: Cross multiply
    13,820.52x = 20,730.76 × 4,586.52
  4. Step 4: Simplify right side
    13,820.52x = 95,082,045.36
  5. Step 5: Solve for x
    x = 95,082,045.36/13,820.52
  6. Step 6: Final answer
    x = 6,879.77

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