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Finding the Fourth Proportional to 13,646.48, 20,470.66 and 5,323.73

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Solution

The fourth proportional to 13,646.48, 20,470.66 and 5,323.73 is: 7,985.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,646.48 : 20,470.66 = 5,323.73 : x
  2. Step 2: Convert to fraction form
    13,646.48/20,470.66 = 5,323.73/x
  3. Step 3: Cross multiply
    13,646.48x = 20,470.66 × 5,323.73
  4. Step 4: Simplify right side
    13,646.48x = 108,980,151.10
  5. Step 5: Solve for x
    x = 108,980,151.10/13,646.48
  6. Step 6: Final answer
    x = 7,985.96

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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.