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Finding the Fourth Proportional to 5,619.40, 8,434.40 and 4,134.08

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Solution

The fourth proportional to 5,619.40, 8,434.40 and 4,134.08 is: 6,205.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,619.40 : 8,434.40 = 4,134.08 : x
  2. Step 2: Convert to fraction form
    5,619.40/8,434.40 = 4,134.08/x
  3. Step 3: Cross multiply
    5,619.40x = 8,434.40 × 4,134.08
  4. Step 4: Simplify right side
    5,619.40x = 34,868,484.35
  5. Step 5: Solve for x
    x = 34,868,484.35/5,619.40
  6. Step 6: Final answer
    x = 6,205.02

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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.