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Finding the Fourth Proportional to 19,691.84, 29,537.76 and 7,213.52

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Solution

The fourth proportional to 19,691.84, 29,537.76 and 7,213.52 is: 10,820.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,691.84 : 29,537.76 = 7,213.52 : x
  2. Step 2: Convert to fraction form
    19,691.84/29,537.76 = 7,213.52/x
  3. Step 3: Cross multiply
    19,691.84x = 29,537.76 × 7,213.52
  4. Step 4: Simplify right side
    19,691.84x = 213,071,222.52
  5. Step 5: Solve for x
    x = 213,071,222.52/19,691.84
  6. Step 6: Final answer
    x = 10,820.28

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1.5x scale

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.