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Finding the Fourth Proportional to 1,989.71, 2,763.80 and 1,957.93

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Solution

The fourth proportional to 1,989.71, 2,763.80 and 1,957.93 is: 2,719.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989.71 : 2,763.80 = 1,957.93 : x
  2. Step 2: Convert to fraction form
    1,989.71/2,763.80 = 1,957.93/x
  3. Step 3: Cross multiply
    1,989.71x = 2,763.80 × 1,957.93
  4. Step 4: Simplify right side
    1,989.71x = 5,411,317.58
  5. Step 5: Solve for x
    x = 5,411,317.58/1,989.71
  6. Step 6: Final answer
    x = 2,719.65

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.