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Finding the Fourth Proportional to 34,213.96, 47,213.46 and 19,309

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Solution

The fourth proportional to 34,213.96, 47,213.46 and 19,309 is: 26,645.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,213.96 : 47,213.46 = 19,309 : x
  2. Step 2: Convert to fraction form
    34,213.96/47,213.46 = 19,309/x
  3. Step 3: Cross multiply
    34,213.96x = 47,213.46 × 19,309
  4. Step 4: Simplify right side
    34,213.96x = 911,644,699.14
  5. Step 5: Solve for x
    x = 911,644,699.14/34,213.96
  6. Step 6: Final answer
    x = 26,645.40

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1.5x scale

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.