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Finding the Fourth Proportional to 34,604, 47,753.68 and 19,700

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Solution

The fourth proportional to 34,604, 47,753.68 and 19,700 is: 27,186.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,604 : 47,753.68 = 19,700 : x
  2. Step 2: Convert to fraction form
    34,604/47,753.68 = 19,700/x
  3. Step 3: Cross multiply
    34,604x = 47,753.68 × 19,700
  4. Step 4: Simplify right side
    34,604x = 940,747,496
  5. Step 5: Solve for x
    x = 940,747,496/34,604
  6. Step 6: Final answer
    x = 27,186.09

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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.