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Finding the Fourth Proportional to 4,971.64, 7,458 and 2,197.12

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Solution

The fourth proportional to 4,971.64, 7,458 and 2,197.12 is: 3,295.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.64 : 7,458 = 2,197.12 : x
  2. Step 2: Convert to fraction form
    4,971.64/7,458 = 2,197.12/x
  3. Step 3: Cross multiply
    4,971.64x = 7,458 × 2,197.12
  4. Step 4: Simplify right side
    4,971.64x = 16,386,120.96
  5. Step 5: Solve for x
    x = 16,386,120.96/4,971.64
  6. Step 6: Final answer
    x = 3,295.92

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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.