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Finding the Fourth Proportional to 2,159.28, 2,978.99 and 1,496.68

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Solution

The fourth proportional to 2,159.28, 2,978.99 and 1,496.68 is: 2,064.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.28 : 2,978.99 = 1,496.68 : x
  2. Step 2: Convert to fraction form
    2,159.28/2,978.99 = 1,496.68/x
  3. Step 3: Cross multiply
    2,159.28x = 2,978.99 × 1,496.68
  4. Step 4: Simplify right side
    2,159.28x = 4,458,594.75
  5. Step 5: Solve for x
    x = 4,458,594.75/2,159.28
  6. Step 6: Final answer
    x = 2,064.85

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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.