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Finding the Fourth Proportional to 34,295.94, 51,530.04 and 21,821.40

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Solution

The fourth proportional to 34,295.94, 51,530.04 and 21,821.40 is: 32,786.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,295.94 : 51,530.04 = 21,821.40 : x
  2. Step 2: Convert to fraction form
    34,295.94/51,530.04 = 21,821.40/x
  3. Step 3: Cross multiply
    34,295.94x = 51,530.04 × 21,821.40
  4. Step 4: Simplify right side
    34,295.94x = 1,124,457,614.86
  5. Step 5: Solve for x
    x = 1,124,457,614.86/34,295.94
  6. Step 6: Final answer
    x = 32,786.90

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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.