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Finding the Fourth Proportional to 34,692, 47,874.96 and 19,788

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Solution

The fourth proportional to 34,692, 47,874.96 and 19,788 is: 27,307.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,692 : 47,874.96 = 19,788 : x
  2. Step 2: Convert to fraction form
    34,692/47,874.96 = 19,788/x
  3. Step 3: Cross multiply
    34,692x = 47,874.96 × 19,788
  4. Step 4: Simplify right side
    34,692x = 947,349,708.48
  5. Step 5: Solve for x
    x = 947,349,708.48/34,692
  6. Step 6: Final answer
    x = 27,307.44

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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.