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Finding the Fourth Proportional to 34,355, 47,409.91 and 19,451

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Solution

The fourth proportional to 34,355, 47,409.91 and 19,451 is: 26,842.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,355 : 47,409.91 = 19,451 : x
  2. Step 2: Convert to fraction form
    34,355/47,409.91 = 19,451/x
  3. Step 3: Cross multiply
    34,355x = 47,409.91 × 19,451
  4. Step 4: Simplify right side
    34,355x = 922,170,159.41
  5. Step 5: Solve for x
    x = 922,170,159.41/34,355
  6. Step 6: Final answer
    x = 26,842.39

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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.