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Finding the Fourth Proportional to 13,653, 18,837.90 and 7,683.48

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Solution

The fourth proportional to 13,653, 18,837.90 and 7,683.48 is: 10,601.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,653 : 18,837.90 = 7,683.48 : x
  2. Step 2: Convert to fraction form
    13,653/18,837.90 = 7,683.48/x
  3. Step 3: Cross multiply
    13,653x = 18,837.90 × 7,683.48
  4. Step 4: Simplify right side
    13,653x = 144,740,627.89
  5. Step 5: Solve for x
    x = 144,740,627.89/13,653
  6. Step 6: Final answer
    x = 10,601.38

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1.5x scale

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.