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Finding the Fourth Proportional to 34,272, 47,301.84 and 19,368

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Solution

The fourth proportional to 34,272, 47,301.84 and 19,368 is: 26,731.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,272 : 47,301.84 = 19,368 : x
  2. Step 2: Convert to fraction form
    34,272/47,301.84 = 19,368/x
  3. Step 3: Cross multiply
    34,272x = 47,301.84 × 19,368
  4. Step 4: Simplify right side
    34,272x = 916,142,037.12
  5. Step 5: Solve for x
    x = 916,142,037.12/34,272
  6. Step 6: Final answer
    x = 26,731.50

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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.