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Finding the Fourth Proportional to 21,847, 32,762.18 and 7,804.40

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Solution

The fourth proportional to 21,847, 32,762.18 and 7,804.40 is: 11,703.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,847 : 32,762.18 = 7,804.40 : x
  2. Step 2: Convert to fraction form
    21,847/32,762.18 = 7,804.40/x
  3. Step 3: Cross multiply
    21,847x = 32,762.18 × 7,804.40
  4. Step 4: Simplify right side
    21,847x = 255,689,157.59
  5. Step 5: Solve for x
    x = 255,689,157.59/21,847
  6. Step 6: Final answer
    x = 11,703.63

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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.