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Finding the Fourth Proportional to 4,182, 5,782.08 and 3,998.40

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Solution

The fourth proportional to 4,182, 5,782.08 and 3,998.40 is: 5,528.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182 : 5,782.08 = 3,998.40 : x
  2. Step 2: Convert to fraction form
    4,182/5,782.08 = 3,998.40/x
  3. Step 3: Cross multiply
    4,182x = 5,782.08 × 3,998.40
  4. Step 4: Simplify right side
    4,182x = 23,119,068.67
  5. Step 5: Solve for x
    x = 23,119,068.67/4,182
  6. Step 6: Final answer
    x = 5,528.23

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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.