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Finding the Fourth Proportional to 34,170, 47,154.96 and 19,266

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Solution

The fourth proportional to 34,170, 47,154.96 and 19,266 is: 26,587.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,170 : 47,154.96 = 19,266 : x
  2. Step 2: Convert to fraction form
    34,170/47,154.96 = 19,266/x
  3. Step 3: Cross multiply
    34,170x = 47,154.96 × 19,266
  4. Step 4: Simplify right side
    34,170x = 908,487,459.36
  5. Step 5: Solve for x
    x = 908,487,459.36/34,170
  6. Step 6: Final answer
    x = 26,587.28

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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.