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Finding the Fourth Proportional to 34,402, 51,611.67 and 9,778

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Solution

The fourth proportional to 34,402, 51,611.67 and 9,778 is: 14,669.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,402 : 51,611.67 = 9,778 : x
  2. Step 2: Convert to fraction form
    34,402/51,611.67 = 9,778/x
  3. Step 3: Cross multiply
    34,402x = 51,611.67 × 9,778
  4. Step 4: Simplify right side
    34,402x = 504,658,909.26
  5. Step 5: Solve for x
    x = 504,658,909.26/34,402
  6. Step 6: Final answer
    x = 14,669.46

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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.