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Finding the Fourth Proportional to 27,021.50, 40,538.76 and 8,553.50

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Solution

The fourth proportional to 27,021.50, 40,538.76 and 8,553.50 is: 12,832.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,021.50 : 40,538.76 = 8,553.50 : x
  2. Step 2: Convert to fraction form
    27,021.50/40,538.76 = 8,553.50/x
  3. Step 3: Cross multiply
    27,021.50x = 40,538.76 × 8,553.50
  4. Step 4: Simplify right side
    27,021.50x = 346,748,283.66
  5. Step 5: Solve for x
    x = 346,748,283.66/27,021.50
  6. Step 6: Final answer
    x = 12,832.31

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1.5x scale

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.