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Finding the Fourth Proportional to 19,569, 29,357.82 and 7,257

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Solution

The fourth proportional to 19,569, 29,357.82 and 7,257 is: 10,887.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,569 : 29,357.82 = 7,257 : x
  2. Step 2: Convert to fraction form
    19,569/29,357.82 = 7,257/x
  3. Step 3: Cross multiply
    19,569x = 29,357.82 × 7,257
  4. Step 4: Simplify right side
    19,569x = 213,049,699.74
  5. Step 5: Solve for x
    x = 213,049,699.74/19,569
  6. Step 6: Final answer
    x = 10,887.10

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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.