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Finding the Fourth Proportional to 11,693.10, 17,539.74 and 2,928.05

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Solution

The fourth proportional to 11,693.10, 17,539.74 and 2,928.05 is: 4,392.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,693.10 : 17,539.74 = 2,928.05 : x
  2. Step 2: Convert to fraction form
    11,693.10/17,539.74 = 2,928.05/x
  3. Step 3: Cross multiply
    11,693.10x = 17,539.74 × 2,928.05
  4. Step 4: Simplify right side
    11,693.10x = 51,357,148.01
  5. Step 5: Solve for x
    x = 51,357,148.01/11,693.10
  6. Step 6: Final answer
    x = 4,392.09

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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.