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Finding the Fourth Proportional to 2,141, 2,954.86 and 1,209.50

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Solution

The fourth proportional to 2,141, 2,954.86 and 1,209.50 is: 1,669.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141 : 2,954.86 = 1,209.50 : x
  2. Step 2: Convert to fraction form
    2,141/2,954.86 = 1,209.50/x
  3. Step 3: Cross multiply
    2,141x = 2,954.86 × 1,209.50
  4. Step 4: Simplify right side
    2,141x = 3,573,903.17
  5. Step 5: Solve for x
    x = 3,573,903.17/2,141
  6. Step 6: Final answer
    x = 1,669.27

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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.