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Finding the Fourth Proportional to 4,877.64, 7,310.08 and 1,958.00

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Solution

The fourth proportional to 4,877.64, 7,310.08 and 1,958.00 is: 2,934.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,877.64 : 7,310.08 = 1,958.00 : x
  2. Step 2: Convert to fraction form
    4,877.64/7,310.08 = 1,958.00/x
  3. Step 3: Cross multiply
    4,877.64x = 7,310.08 × 1,958.00
  4. Step 4: Simplify right side
    4,877.64x = 14,313,114.12
  5. Step 5: Solve for x
    x = 14,313,114.12/4,877.64
  6. Step 6: Final answer
    x = 2,934.43

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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.