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Finding the Fourth Proportional to 1,970.71, 2,716.44 and 1,931.83

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Solution

The fourth proportional to 1,970.71, 2,716.44 and 1,931.83 is: 2,662.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.71 : 2,716.44 = 1,931.83 : x
  2. Step 2: Convert to fraction form
    1,970.71/2,716.44 = 1,931.83/x
  3. Step 3: Cross multiply
    1,970.71x = 2,716.44 × 1,931.83
  4. Step 4: Simplify right side
    1,970.71x = 5,247,686.25
  5. Step 5: Solve for x
    x = 5,247,686.25/1,970.71
  6. Step 6: Final answer
    x = 2,662.84

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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.