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Finding the Fourth Proportional to 5,679.42, 7,837.05 and 4,188.14

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Solution

The fourth proportional to 5,679.42, 7,837.05 and 4,188.14 is: 5,779.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679.42 : 7,837.05 = 4,188.14 : x
  2. Step 2: Convert to fraction form
    5,679.42/7,837.05 = 4,188.14/x
  3. Step 3: Cross multiply
    5,679.42x = 7,837.05 × 4,188.14
  4. Step 4: Simplify right side
    5,679.42x = 32,822,662.59
  5. Step 5: Solve for x
    x = 32,822,662.59/5,679.42
  6. Step 6: Final answer
    x = 5,779.23

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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.