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Finding the Fourth Proportional to 27,542, 41,312.90 and 7,820.56

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Solution

The fourth proportional to 27,542, 41,312.90 and 7,820.56 is: 11,730.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,542 : 41,312.90 = 7,820.56 : x
  2. Step 2: Convert to fraction form
    27,542/41,312.90 = 7,820.56/x
  3. Step 3: Cross multiply
    27,542x = 41,312.90 × 7,820.56
  4. Step 4: Simplify right side
    27,542x = 323,090,013.22
  5. Step 5: Solve for x
    x = 323,090,013.22/27,542
  6. Step 6: Final answer
    x = 11,730.81

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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.