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Finding the Fourth Proportional to 13,357.68, 18,433.77 and 8,323.93

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Solution

The fourth proportional to 13,357.68, 18,433.77 and 8,323.93 is: 11,487.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,357.68 : 18,433.77 = 8,323.93 : x
  2. Step 2: Convert to fraction form
    13,357.68/18,433.77 = 8,323.93/x
  3. Step 3: Cross multiply
    13,357.68x = 18,433.77 × 8,323.93
  4. Step 4: Simplify right side
    13,357.68x = 153,441,411.12
  5. Step 5: Solve for x
    x = 153,441,411.12/13,357.68
  6. Step 6: Final answer
    x = 11,487.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.