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Finding the Fourth Proportional to 5,154.54, 7,731.45 and 1,867.02

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Solution

The fourth proportional to 5,154.54, 7,731.45 and 1,867.02 is: 2,800.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154.54 : 7,731.45 = 1,867.02 : x
  2. Step 2: Convert to fraction form
    5,154.54/7,731.45 = 1,867.02/x
  3. Step 3: Cross multiply
    5,154.54x = 7,731.45 × 1,867.02
  4. Step 4: Simplify right side
    5,154.54x = 14,434,771.78
  5. Step 5: Solve for x
    x = 14,434,771.78/5,154.54
  6. Step 6: Final answer
    x = 2,800.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.