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Finding the Fourth Proportional to 7,454, 10,286.40 and 4,096.82

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Solution

The fourth proportional to 7,454, 10,286.40 and 4,096.82 is: 5,653.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,454 : 10,286.40 = 4,096.82 : x
  2. Step 2: Convert to fraction form
    7,454/10,286.40 = 4,096.82/x
  3. Step 3: Cross multiply
    7,454x = 10,286.40 × 4,096.82
  4. Step 4: Simplify right side
    7,454x = 42,141,529.25
  5. Step 5: Solve for x
    x = 42,141,529.25/7,454
  6. Step 6: Final answer
    x = 5,653.55

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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.