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Finding the Fourth Proportional to 19,105.16, 28,652.88 and 7,412

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Solution

The fourth proportional to 19,105.16, 28,652.88 and 7,412 is: 11,116.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,105.16 : 28,652.88 = 7,412 : x
  2. Step 2: Convert to fraction form
    19,105.16/28,652.88 = 7,412/x
  3. Step 3: Cross multiply
    19,105.16x = 28,652.88 × 7,412
  4. Step 4: Simplify right side
    19,105.16x = 212,375,146.56
  5. Step 5: Solve for x
    x = 212,375,146.56/19,105.16
  6. Step 6: Final answer
    x = 11,116.11

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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.