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Finding the Fourth Proportional to 4,973.71, 6,861.41 and 2,980.80

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Solution

The fourth proportional to 4,973.71, 6,861.41 and 2,980.80 is: 4,112.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973.71 : 6,861.41 = 2,980.80 : x
  2. Step 2: Convert to fraction form
    4,973.71/6,861.41 = 2,980.80/x
  3. Step 3: Cross multiply
    4,973.71x = 6,861.41 × 2,980.80
  4. Step 4: Simplify right side
    4,973.71x = 20,452,512.93
  5. Step 5: Solve for x
    x = 20,452,512.93/4,973.71
  6. Step 6: Final answer
    x = 4,112.13

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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.