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Finding the Fourth Proportional to 13,406.74, 18,503.99 and 7,742.41

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Solution

The fourth proportional to 13,406.74, 18,503.99 and 7,742.41 is: 10,686.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,406.74 : 18,503.99 = 7,742.41 : x
  2. Step 2: Convert to fraction form
    13,406.74/18,503.99 = 7,742.41/x
  3. Step 3: Cross multiply
    13,406.74x = 18,503.99 × 7,742.41
  4. Step 4: Simplify right side
    13,406.74x = 143,265,516.87
  5. Step 5: Solve for x
    x = 143,265,516.87/13,406.74
  6. Step 6: Final answer
    x = 10,686.08

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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.