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Finding the Fourth Proportional to 30,480.40, 45,724.49 and 11,765.79

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Solution

The fourth proportional to 30,480.40, 45,724.49 and 11,765.79 is: 17,650.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,480.40 : 45,724.49 = 11,765.79 : x
  2. Step 2: Convert to fraction form
    30,480.40/45,724.49 = 11,765.79/x
  3. Step 3: Cross multiply
    30,480.40x = 45,724.49 × 11,765.79
  4. Step 4: Simplify right side
    30,480.40x = 537,984,653.53
  5. Step 5: Solve for x
    x = 537,984,653.53/30,480.40
  6. Step 6: Final answer
    x = 17,650.18

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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.