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Finding the Fourth Proportional to 4,243, 5,855.60 and 2,380.12

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Solution

The fourth proportional to 4,243, 5,855.60 and 2,380.12 is: 3,284.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,243 : 5,855.60 = 2,380.12 : x
  2. Step 2: Convert to fraction form
    4,243/5,855.60 = 2,380.12/x
  3. Step 3: Cross multiply
    4,243x = 5,855.60 × 2,380.12
  4. Step 4: Simplify right side
    4,243x = 13,937,030.67
  5. Step 5: Solve for x
    x = 13,937,030.67/4,243
  6. Step 6: Final answer
    x = 3,284.71

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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.