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Finding the Fourth Proportional to 13,683.68, 18,895.92 and 10,320.74

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Solution

The fourth proportional to 13,683.68, 18,895.92 and 10,320.74 is: 14,252.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,683.68 : 18,895.92 = 10,320.74 : x
  2. Step 2: Convert to fraction form
    13,683.68/18,895.92 = 10,320.74/x
  3. Step 3: Cross multiply
    13,683.68x = 18,895.92 × 10,320.74
  4. Step 4: Simplify right side
    13,683.68x = 195,019,877.38
  5. Step 5: Solve for x
    x = 195,019,877.38/13,683.68
  6. Step 6: Final answer
    x = 14,252.01

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Why These Related Problems?

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