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Finding the Fourth Proportional to 5,065.77, 6,991.43 and 2,970.09

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Solution

The fourth proportional to 5,065.77, 6,991.43 and 2,970.09 is: 4,099.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,065.77 : 6,991.43 = 2,970.09 : x
  2. Step 2: Convert to fraction form
    5,065.77/6,991.43 = 2,970.09/x
  3. Step 3: Cross multiply
    5,065.77x = 6,991.43 × 2,970.09
  4. Step 4: Simplify right side
    5,065.77x = 20,765,161.48
  5. Step 5: Solve for x
    x = 20,765,161.48/5,065.77
  6. Step 6: Final answer
    x = 4,099.11

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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.