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Finding the Fourth Proportional to 3,429, 4,732.02 and 1,857.11

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Solution

The fourth proportional to 3,429, 4,732.02 and 1,857.11 is: 2,562.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429 : 4,732.02 = 1,857.11 : x
  2. Step 2: Convert to fraction form
    3,429/4,732.02 = 1,857.11/x
  3. Step 3: Cross multiply
    3,429x = 4,732.02 × 1,857.11
  4. Step 4: Simplify right side
    3,429x = 8,787,858.00
  5. Step 5: Solve for x
    x = 8,787,858.00/3,429
  6. Step 6: Final answer
    x = 2,562.80

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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.