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Finding the Fourth Proportional to 7,281, 10,049.16 and 4,631.49

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Solution

The fourth proportional to 7,281, 10,049.16 and 4,631.49 is: 6,392.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,281 : 10,049.16 = 4,631.49 : x
  2. Step 2: Convert to fraction form
    7,281/10,049.16 = 4,631.49/x
  3. Step 3: Cross multiply
    7,281x = 10,049.16 × 4,631.49
  4. Step 4: Simplify right side
    7,281x = 46,542,584.05
  5. Step 5: Solve for x
    x = 46,542,584.05/7,281
  6. Step 6: Final answer
    x = 6,392.33

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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.