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Finding the Fourth Proportional to 21,308.14, 31,976.34 and 7,457.14

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Solution

The fourth proportional to 21,308.14, 31,976.34 and 7,457.14 is: 11,190.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,308.14 : 31,976.34 = 7,457.14 : x
  2. Step 2: Convert to fraction form
    21,308.14/31,976.34 = 7,457.14/x
  3. Step 3: Cross multiply
    21,308.14x = 31,976.34 × 7,457.14
  4. Step 4: Simplify right side
    21,308.14x = 238,452,044.07
  5. Step 5: Solve for x
    x = 238,452,044.07/21,308.14
  6. Step 6: Final answer
    x = 11,190.66

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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.