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Finding the Fourth Proportional to 20,072.92, 27,700.54 and 11,575

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Solution

The fourth proportional to 20,072.92, 27,700.54 and 11,575 is: 15,973.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,072.92 : 27,700.54 = 11,575 : x
  2. Step 2: Convert to fraction form
    20,072.92/27,700.54 = 11,575/x
  3. Step 3: Cross multiply
    20,072.92x = 27,700.54 × 11,575
  4. Step 4: Simplify right side
    20,072.92x = 320,633,750.50
  5. Step 5: Solve for x
    x = 320,633,750.50/20,072.92
  6. Step 6: Final answer
    x = 15,973.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.