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Finding the Fourth Proportional to 9,486.90, 14,231.01 and 2,917.68

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Solution

The fourth proportional to 9,486.90, 14,231.01 and 2,917.68 is: 4,376.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.90 : 14,231.01 = 2,917.68 : x
  2. Step 2: Convert to fraction form
    9,486.90/14,231.01 = 2,917.68/x
  3. Step 3: Cross multiply
    9,486.90x = 14,231.01 × 2,917.68
  4. Step 4: Simplify right side
    9,486.90x = 41,521,533.26
  5. Step 5: Solve for x
    x = 41,521,533.26/9,486.90
  6. Step 6: Final answer
    x = 4,376.72

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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.