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Finding the Fourth Proportional to 13,361, 18,438.12 and 7,693.68

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Solution

The fourth proportional to 13,361, 18,438.12 and 7,693.68 is: 10,617.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,361 : 18,438.12 = 7,693.68 : x
  2. Step 2: Convert to fraction form
    13,361/18,438.12 = 7,693.68/x
  3. Step 3: Cross multiply
    13,361x = 18,438.12 × 7,693.68
  4. Step 4: Simplify right side
    13,361x = 141,856,995.08
  5. Step 5: Solve for x
    x = 141,856,995.08/13,361
  6. Step 6: Final answer
    x = 10,617.24

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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.