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Finding the Fourth Proportional to 30,882, 46,295.28 and 11,155.93

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Solution

The fourth proportional to 30,882, 46,295.28 and 11,155.93 is: 16,723.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,882 : 46,295.28 = 11,155.93 : x
  2. Step 2: Convert to fraction form
    30,882/46,295.28 = 11,155.93/x
  3. Step 3: Cross multiply
    30,882x = 46,295.28 × 11,155.93
  4. Step 4: Simplify right side
    30,882x = 516,466,903.01
  5. Step 5: Solve for x
    x = 516,466,903.01/30,882
  6. Step 6: Final answer
    x = 16,723.88

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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.