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Finding the Fourth Proportional to 27,174, 40,700.70 and 20,887.74

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Solution

The fourth proportional to 27,174, 40,700.70 and 20,887.74 is: 31,285.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,174 : 40,700.70 = 20,887.74 : x
  2. Step 2: Convert to fraction form
    27,174/40,700.70 = 20,887.74/x
  3. Step 3: Cross multiply
    27,174x = 40,700.70 × 20,887.74
  4. Step 4: Simplify right side
    27,174x = 850,145,639.42
  5. Step 5: Solve for x
    x = 850,145,639.42/27,174
  6. Step 6: Final answer
    x = 31,285.26

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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.