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Finding the Fourth Proportional to 34,386, 51,602.04 and 12,498

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Solution

The fourth proportional to 34,386, 51,602.04 and 12,498 is: 18,755.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,386 : 51,602.04 = 12,498 : x
  2. Step 2: Convert to fraction form
    34,386/51,602.04 = 12,498/x
  3. Step 3: Cross multiply
    34,386x = 51,602.04 × 12,498
  4. Step 4: Simplify right side
    34,386x = 644,922,295.92
  5. Step 5: Solve for x
    x = 644,922,295.92/34,386
  6. Step 6: Final answer
    x = 18,755.37

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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.