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Finding the Fourth Proportional to 13,375.84, 18,458.52 and 7,407.76

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Solution

The fourth proportional to 13,375.84, 18,458.52 and 7,407.76 is: 10,222.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,375.84 : 18,458.52 = 7,407.76 : x
  2. Step 2: Convert to fraction form
    13,375.84/18,458.52 = 7,407.76/x
  3. Step 3: Cross multiply
    13,375.84x = 18,458.52 × 7,407.76
  4. Step 4: Simplify right side
    13,375.84x = 136,736,286.12
  5. Step 5: Solve for x
    x = 136,736,286.12/13,375.84
  6. Step 6: Final answer
    x = 10,222.63

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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.