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Finding the Fourth Proportional to 21,148.48, 31,723.49 and 7,108.99

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Solution

The fourth proportional to 21,148.48, 31,723.49 and 7,108.99 is: 10,663.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,148.48 : 31,723.49 = 7,108.99 : x
  2. Step 2: Convert to fraction form
    21,148.48/31,723.49 = 7,108.99/x
  3. Step 3: Cross multiply
    21,148.48x = 31,723.49 × 7,108.99
  4. Step 4: Simplify right side
    21,148.48x = 225,521,911.64
  5. Step 5: Solve for x
    x = 225,521,911.64/21,148.48
  6. Step 6: Final answer
    x = 10,663.74

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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.