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Finding the Fourth Proportional to 2,145.50, 2,960.80 and 1,214

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Solution

The fourth proportional to 2,145.50, 2,960.80 and 1,214 is: 1,675.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.50 : 2,960.80 = 1,214 : x
  2. Step 2: Convert to fraction form
    2,145.50/2,960.80 = 1,214/x
  3. Step 3: Cross multiply
    2,145.50x = 2,960.80 × 1,214
  4. Step 4: Simplify right side
    2,145.50x = 3,594,411.20
  5. Step 5: Solve for x
    x = 3,594,411.20/2,145.50
  6. Step 6: Final answer
    x = 1,675.33

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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.