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Finding the Fourth Proportional to 2,159.56, 3,238.66 and 1,433

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Solution

The fourth proportional to 2,159.56, 3,238.66 and 1,433 is: 2,149.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.56 : 3,238.66 = 1,433 : x
  2. Step 2: Convert to fraction form
    2,159.56/3,238.66 = 1,433/x
  3. Step 3: Cross multiply
    2,159.56x = 3,238.66 × 1,433
  4. Step 4: Simplify right side
    2,159.56x = 4,640,999.78
  5. Step 5: Solve for x
    x = 4,640,999.78/2,159.56
  6. Step 6: Final answer
    x = 2,149.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.