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Finding the Fourth Proportional to 4,549.63, 6,824.74 and 1,429.76

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Solution

The fourth proportional to 4,549.63, 6,824.74 and 1,429.76 is: 2,144.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,549.63 : 6,824.74 = 1,429.76 : x
  2. Step 2: Convert to fraction form
    4,549.63/6,824.74 = 1,429.76/x
  3. Step 3: Cross multiply
    4,549.63x = 6,824.74 × 1,429.76
  4. Step 4: Simplify right side
    4,549.63x = 9,757,740.26
  5. Step 5: Solve for x
    x = 9,757,740.26/4,549.63
  6. Step 6: Final answer
    x = 2,144.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.