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Finding the Fourth Proportional to 4,972.64, 7,458.56 and 2,891.31

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Solution

The fourth proportional to 4,972.64, 7,458.56 and 2,891.31 is: 4,336.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.64 : 7,458.56 = 2,891.31 : x
  2. Step 2: Convert to fraction form
    4,972.64/7,458.56 = 2,891.31/x
  3. Step 3: Cross multiply
    4,972.64x = 7,458.56 × 2,891.31
  4. Step 4: Simplify right side
    4,972.64x = 21,565,009.11
  5. Step 5: Solve for x
    x = 21,565,009.11/4,972.64
  6. Step 6: Final answer
    x = 4,336.74

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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.