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Finding the Fourth Proportional to 5,938.64, 8,188.20 and 5,140.88

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Solution

The fourth proportional to 5,938.64, 8,188.20 and 5,140.88 is: 7,088.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,938.64 : 8,188.20 = 5,140.88 : x
  2. Step 2: Convert to fraction form
    5,938.64/8,188.20 = 5,140.88/x
  3. Step 3: Cross multiply
    5,938.64x = 8,188.20 × 5,140.88
  4. Step 4: Simplify right side
    5,938.64x = 42,094,553.62
  5. Step 5: Solve for x
    x = 42,094,553.62/5,938.64
  6. Step 6: Final answer
    x = 7,088.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.