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Finding the Fourth Proportional to 30,505.29, 45,771.03 and 11,798.45

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Solution

The fourth proportional to 30,505.29, 45,771.03 and 11,798.45 is: 17,702.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,505.29 : 45,771.03 = 11,798.45 : x
  2. Step 2: Convert to fraction form
    30,505.29/45,771.03 = 11,798.45/x
  3. Step 3: Cross multiply
    30,505.29x = 45,771.03 × 11,798.45
  4. Step 4: Simplify right side
    30,505.29x = 540,027,151.69
  5. Step 5: Solve for x
    x = 540,027,151.69/30,505.29
  6. Step 6: Final answer
    x = 17,702.74

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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.