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Finding the Fourth Proportional to 2,970.87, 4,098.46 and 1,711.59

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Solution

The fourth proportional to 2,970.87, 4,098.46 and 1,711.59 is: 2,361.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.87 : 4,098.46 = 1,711.59 : x
  2. Step 2: Convert to fraction form
    2,970.87/4,098.46 = 1,711.59/x
  3. Step 3: Cross multiply
    2,970.87x = 4,098.46 × 1,711.59
  4. Step 4: Simplify right side
    2,970.87x = 7,014,883.15
  5. Step 5: Solve for x
    x = 7,014,883.15/2,970.87
  6. Step 6: Final answer
    x = 2,361.22

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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.