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Finding the Fourth Proportional to 30,765, 46,142.76 and 8,576.04

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Solution

The fourth proportional to 30,765, 46,142.76 and 8,576.04 is: 12,862.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,765 : 46,142.76 = 8,576.04 : x
  2. Step 2: Convert to fraction form
    30,765/46,142.76 = 8,576.04/x
  3. Step 3: Cross multiply
    30,765x = 46,142.76 × 8,576.04
  4. Step 4: Simplify right side
    30,765x = 395,722,155.47
  5. Step 5: Solve for x
    x = 395,722,155.47/30,765
  6. Step 6: Final answer
    x = 12,862.74

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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.