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Finding the Fourth Proportional to 4,971.63, 6,860.84 and 2,876.97

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Solution

The fourth proportional to 4,971.63, 6,860.84 and 2,876.97 is: 3,970.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.63 : 6,860.84 = 2,876.97 : x
  2. Step 2: Convert to fraction form
    4,971.63/6,860.84 = 2,876.97/x
  3. Step 3: Cross multiply
    4,971.63x = 6,860.84 × 2,876.97
  4. Step 4: Simplify right side
    4,971.63x = 19,738,403.74
  5. Step 5: Solve for x
    x = 19,738,403.74/4,971.63
  6. Step 6: Final answer
    x = 3,970.21

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1.5x scale

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.