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Finding the Fourth Proportional to 2,144, 2,958.90 and 1,358.66

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Solution

The fourth proportional to 2,144, 2,958.90 and 1,358.66 is: 1,875.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144 : 2,958.90 = 1,358.66 : x
  2. Step 2: Convert to fraction form
    2,144/2,958.90 = 1,358.66/x
  3. Step 3: Cross multiply
    2,144x = 2,958.90 × 1,358.66
  4. Step 4: Simplify right side
    2,144x = 4,020,139.07
  5. Step 5: Solve for x
    x = 4,020,139.07/2,144
  6. Step 6: Final answer
    x = 1,875.06

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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.