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Finding the Fourth Proportional to 30,768, 46,156.46 and 9,700.92

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Solution

The fourth proportional to 30,768, 46,156.46 and 9,700.92 is: 14,552.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,768 : 46,156.46 = 9,700.92 : x
  2. Step 2: Convert to fraction form
    30,768/46,156.46 = 9,700.92/x
  3. Step 3: Cross multiply
    30,768x = 46,156.46 × 9,700.92
  4. Step 4: Simplify right side
    30,768x = 447,760,077.44
  5. Step 5: Solve for x
    x = 447,760,077.44/30,768
  6. Step 6: Final answer
    x = 14,552.78

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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.