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Finding the Fourth Proportional to 34,334, 47,382.36 and 19,430

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Solution

The fourth proportional to 34,334, 47,382.36 and 19,430 is: 26,814.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,334 : 47,382.36 = 19,430 : x
  2. Step 2: Convert to fraction form
    34,334/47,382.36 = 19,430/x
  3. Step 3: Cross multiply
    34,334x = 47,382.36 × 19,430
  4. Step 4: Simplify right side
    34,334x = 920,639,254.80
  5. Step 5: Solve for x
    x = 920,639,254.80/34,334
  6. Step 6: Final answer
    x = 26,814.21

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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.