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Finding the Fourth Proportional to 34,651, 51,999.54 and 12,763

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Solution

The fourth proportional to 34,651, 51,999.54 and 12,763 is: 19,152.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,651 : 51,999.54 = 12,763 : x
  2. Step 2: Convert to fraction form
    34,651/51,999.54 = 12,763/x
  3. Step 3: Cross multiply
    34,651x = 51,999.54 × 12,763
  4. Step 4: Simplify right side
    34,651x = 663,670,129.02
  5. Step 5: Solve for x
    x = 663,670,129.02/34,651
  6. Step 6: Final answer
    x = 19,152.99

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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.