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Finding the Fourth Proportional to 4,972, 6,858 and 2,980.96

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Solution

The fourth proportional to 4,972, 6,858 and 2,980.96 is: 4,111.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972 : 6,858 = 2,980.96 : x
  2. Step 2: Convert to fraction form
    4,972/6,858 = 2,980.96/x
  3. Step 3: Cross multiply
    4,972x = 6,858 × 2,980.96
  4. Step 4: Simplify right side
    4,972x = 20,443,423.68
  5. Step 5: Solve for x
    x = 20,443,423.68/4,972
  6. Step 6: Final answer
    x = 4,111.71

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Why These Related Problems?

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