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Finding the Fourth Proportional to 13,687.68, 20,432.51 and 12,026.93

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Solution

The fourth proportional to 13,687.68, 20,432.51 and 12,026.93 is: 17,953.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,687.68 : 20,432.51 = 12,026.93 : x
  2. Step 2: Convert to fraction form
    13,687.68/20,432.51 = 12,026.93/x
  3. Step 3: Cross multiply
    13,687.68x = 20,432.51 × 12,026.93
  4. Step 4: Simplify right side
    13,687.68x = 245,740,265.33
  5. Step 5: Solve for x
    x = 245,740,265.33/13,687.68
  6. Step 6: Final answer
    x = 17,953.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.