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Finding the Fourth Proportional to 19,476, 29,218.32 and 7,164

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Solution

The fourth proportional to 19,476, 29,218.32 and 7,164 is: 10,747.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,476 : 29,218.32 = 7,164 : x
  2. Step 2: Convert to fraction form
    19,476/29,218.32 = 7,164/x
  3. Step 3: Cross multiply
    19,476x = 29,218.32 × 7,164
  4. Step 4: Simplify right side
    19,476x = 209,320,044.48
  5. Step 5: Solve for x
    x = 209,320,044.48/19,476
  6. Step 6: Final answer
    x = 10,747.59

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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.