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Finding the Fourth Proportional to 13,737.81, 18,958.19 and 7,450.19

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Solution

The fourth proportional to 13,737.81, 18,958.19 and 7,450.19 is: 10,281.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,737.81 : 18,958.19 = 7,450.19 : x
  2. Step 2: Convert to fraction form
    13,737.81/18,958.19 = 7,450.19/x
  3. Step 3: Cross multiply
    13,737.81x = 18,958.19 × 7,450.19
  4. Step 4: Simplify right side
    13,737.81x = 141,242,088.79
  5. Step 5: Solve for x
    x = 141,242,088.79/13,737.81
  6. Step 6: Final answer
    x = 10,281.26

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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.