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Finding the Fourth Proportional to 2,159.56, 2,978.66 and 1,496.62

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Solution

The fourth proportional to 2,159.56, 2,978.66 and 1,496.62 is: 2,064.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.56 : 2,978.66 = 1,496.62 : x
  2. Step 2: Convert to fraction form
    2,159.56/2,978.66 = 1,496.62/x
  3. Step 3: Cross multiply
    2,159.56x = 2,978.66 × 1,496.62
  4. Step 4: Simplify right side
    2,159.56x = 4,457,914.65
  5. Step 5: Solve for x
    x = 4,457,914.65/2,159.56
  6. Step 6: Final answer
    x = 2,064.27

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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.