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Finding the Fourth Proportional to 12,782.70, 19,172.34 and 4,990.50

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Solution

The fourth proportional to 12,782.70, 19,172.34 and 4,990.50 is: 7,485.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.70 : 19,172.34 = 4,990.50 : x
  2. Step 2: Convert to fraction form
    12,782.70/19,172.34 = 4,990.50/x
  3. Step 3: Cross multiply
    12,782.70x = 19,172.34 × 4,990.50
  4. Step 4: Simplify right side
    12,782.70x = 95,679,562.77
  5. Step 5: Solve for x
    x = 95,679,562.77/12,782.70
  6. Step 6: Final answer
    x = 7,485.08

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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.