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Finding the Fourth Proportional to 13,412.99, 18,512.12 and 7,446.58

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Solution

The fourth proportional to 13,412.99, 18,512.12 and 7,446.58 is: 10,277.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,412.99 : 18,512.12 = 7,446.58 : x
  2. Step 2: Convert to fraction form
    13,412.99/18,512.12 = 7,446.58/x
  3. Step 3: Cross multiply
    13,412.99x = 18,512.12 × 7,446.58
  4. Step 4: Simplify right side
    13,412.99x = 137,851,945.32
  5. Step 5: Solve for x
    x = 137,851,945.32/13,412.99
  6. Step 6: Final answer
    x = 10,277.50

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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.