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Finding the Fourth Proportional to 13,375.80, 18,457.28 and 7,406.88

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Solution

The fourth proportional to 13,375.80, 18,457.28 and 7,406.88 is: 10,220.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,375.80 : 18,457.28 = 7,406.88 : x
  2. Step 2: Convert to fraction form
    13,375.80/18,457.28 = 7,406.88/x
  3. Step 3: Cross multiply
    13,375.80x = 18,457.28 × 7,406.88
  4. Step 4: Simplify right side
    13,375.80x = 136,710,821.05
  5. Step 5: Solve for x
    x = 136,710,821.05/13,375.80
  6. Step 6: Final answer
    x = 10,220.76

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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.